SlideShare ist ein Scribd-Unternehmen logo
1 von 5
RADICALS

Part 2
Let a, b, m, and n be four real numbers, satisfying a = m + n and
b = m⋅n. Then,




Examples:
Simplify the expressions. Use the property to help you.
Changing the denominator of a fraction from an irrational number to a
rational number is called rationalizing the denominator of the fraction.
Rationalizing the denominator does not change the value of the original
fraction.
An expression with exactly two terms is called a binomial expression.
Two binomial expressions whose first terms are equal and last terms are
opposite are called conjugates, i.e. a + b and a – b are conjugates.
Examples:
Rationalize the denominators.

Weitere ähnliche Inhalte

Was ist angesagt?

Inm literal equations solving for one variable
Inm literal equations solving for one variableInm literal equations solving for one variable
Inm literal equations solving for one variableAmanda Waszczuk
 
Exponents and Radicals (Class 8th)
Exponents and Radicals (Class 8th)Exponents and Radicals (Class 8th)
Exponents and Radicals (Class 8th)Lugiano
 
Chapter 5 unit f 002 12
Chapter 5 unit f 002 12Chapter 5 unit f 002 12
Chapter 5 unit f 002 12jbianco9910
 
Geometry 201 unit 2.6
Geometry 201 unit 2.6Geometry 201 unit 2.6
Geometry 201 unit 2.6Mark Ryder
 
1.3 coefficents and terms
1.3 coefficents and terms1.3 coefficents and terms
1.3 coefficents and termsleblance
 
8 4 relationships among the functions
8 4 relationships among the functions8 4 relationships among the functions
8 4 relationships among the functionshisema01
 
Law of exponent Teacher slide
Law of exponent Teacher slideLaw of exponent Teacher slide
Law of exponent Teacher slideGita Pakpahan
 
2.6 prove statements about segments and angles
2.6 prove statements about segments and angles2.6 prove statements about segments and angles
2.6 prove statements about segments and anglesdetwilerr
 
Rational numbers converted (1)
Rational numbers converted (1)Rational numbers converted (1)
Rational numbers converted (1)somu rajesh
 
Geometry 201 unit 3.1
Geometry 201 unit 3.1Geometry 201 unit 3.1
Geometry 201 unit 3.1Mark Ryder
 
SBTP - Activity sheet for proving law of sines and cosines DavNor Div
SBTP - Activity sheet for proving law of sines and cosines DavNor DivSBTP - Activity sheet for proving law of sines and cosines DavNor Div
SBTP - Activity sheet for proving law of sines and cosines DavNor DivDods Dodong
 
Geometry 201 unit 3.3
Geometry 201 unit 3.3Geometry 201 unit 3.3
Geometry 201 unit 3.3Mark Ryder
 
Math ABC Book Example
Math ABC Book ExampleMath ABC Book Example
Math ABC Book Examplemsraybcps
 
Geometry 201 unit 3.4
Geometry 201 unit 3.4Geometry 201 unit 3.4
Geometry 201 unit 3.4Mark Ryder
 
1.3 segs & their meas. ppt 1
1.3 segs & their meas. ppt 11.3 segs & their meas. ppt 1
1.3 segs & their meas. ppt 1kca1528
 
5.3 use angle bisectors of triangles
5.3 use angle bisectors of triangles5.3 use angle bisectors of triangles
5.3 use angle bisectors of trianglesdetwilerr
 
A110-4 solving factored polys
A110-4 solving factored polysA110-4 solving factored polys
A110-4 solving factored polysvhiggins1
 
Application of discriminant
Application of discriminantApplication of discriminant
Application of discriminantRong Yifei
 

Was ist angesagt? (20)

Inm literal equations solving for one variable
Inm literal equations solving for one variableInm literal equations solving for one variable
Inm literal equations solving for one variable
 
Exponents and Radicals (Class 8th)
Exponents and Radicals (Class 8th)Exponents and Radicals (Class 8th)
Exponents and Radicals (Class 8th)
 
Chapter 5 unit f 002 12
Chapter 5 unit f 002 12Chapter 5 unit f 002 12
Chapter 5 unit f 002 12
 
Mathematical skills II - Rearranging Equations
Mathematical skills II -  Rearranging EquationsMathematical skills II -  Rearranging Equations
Mathematical skills II - Rearranging Equations
 
Geometry 201 unit 2.6
Geometry 201 unit 2.6Geometry 201 unit 2.6
Geometry 201 unit 2.6
 
1.3 coefficents and terms
1.3 coefficents and terms1.3 coefficents and terms
1.3 coefficents and terms
 
8 4 relationships among the functions
8 4 relationships among the functions8 4 relationships among the functions
8 4 relationships among the functions
 
Law of exponent Teacher slide
Law of exponent Teacher slideLaw of exponent Teacher slide
Law of exponent Teacher slide
 
2.6 prove statements about segments and angles
2.6 prove statements about segments and angles2.6 prove statements about segments and angles
2.6 prove statements about segments and angles
 
Rational numbers converted (1)
Rational numbers converted (1)Rational numbers converted (1)
Rational numbers converted (1)
 
Geometry 201 unit 3.1
Geometry 201 unit 3.1Geometry 201 unit 3.1
Geometry 201 unit 3.1
 
SBTP - Activity sheet for proving law of sines and cosines DavNor Div
SBTP - Activity sheet for proving law of sines and cosines DavNor DivSBTP - Activity sheet for proving law of sines and cosines DavNor Div
SBTP - Activity sheet for proving law of sines and cosines DavNor Div
 
Geometry 201 unit 3.3
Geometry 201 unit 3.3Geometry 201 unit 3.3
Geometry 201 unit 3.3
 
Math ABC Book Example
Math ABC Book ExampleMath ABC Book Example
Math ABC Book Example
 
Geometry 201 unit 3.4
Geometry 201 unit 3.4Geometry 201 unit 3.4
Geometry 201 unit 3.4
 
1.3 segs & their meas. ppt 1
1.3 segs & their meas. ppt 11.3 segs & their meas. ppt 1
1.3 segs & their meas. ppt 1
 
Rules of Exponents
Rules of ExponentsRules of Exponents
Rules of Exponents
 
5.3 use angle bisectors of triangles
5.3 use angle bisectors of triangles5.3 use angle bisectors of triangles
5.3 use angle bisectors of triangles
 
A110-4 solving factored polys
A110-4 solving factored polysA110-4 solving factored polys
A110-4 solving factored polys
 
Application of discriminant
Application of discriminantApplication of discriminant
Application of discriminant
 

Mehr von mstf mstf

Trigonometry by mstfdemirdag
Trigonometry by mstfdemirdagTrigonometry by mstfdemirdag
Trigonometry by mstfdemirdagmstf mstf
 
Functions by mstfdemirdag
Functions by mstfdemirdagFunctions by mstfdemirdag
Functions by mstfdemirdagmstf mstf
 
Trigonometric functions
Trigonometric functionsTrigonometric functions
Trigonometric functionsmstf mstf
 
Quadratic functions
Quadratic functionsQuadratic functions
Quadratic functionsmstf mstf
 
Sequences and series
Sequences and seriesSequences and series
Sequences and seriesmstf mstf
 
Pre geometry
Pre geometryPre geometry
Pre geometrymstf mstf
 
Solving linear equations in two
Solving linear equations in twoSolving linear equations in two
Solving linear equations in twomstf mstf
 
Natural numbers
Natural numbersNatural numbers
Natural numbersmstf mstf
 
Divisibility
DivisibilityDivisibility
Divisibilitymstf mstf
 
Prime numbers and factorization
Prime numbers and factorizationPrime numbers and factorization
Prime numbers and factorizationmstf mstf
 
Motion in two dimensions
Motion in two dimensionsMotion in two dimensions
Motion in two dimensionsmstf mstf
 

Mehr von mstf mstf (20)

Trigonometry by mstfdemirdag
Trigonometry by mstfdemirdagTrigonometry by mstfdemirdag
Trigonometry by mstfdemirdag
 
Functions by mstfdemirdag
Functions by mstfdemirdagFunctions by mstfdemirdag
Functions by mstfdemirdag
 
Trigonometric functions
Trigonometric functionsTrigonometric functions
Trigonometric functions
 
Quadratic functions
Quadratic functionsQuadratic functions
Quadratic functions
 
Sequences and series
Sequences and seriesSequences and series
Sequences and series
 
Functions
FunctionsFunctions
Functions
 
Pre geometry
Pre geometryPre geometry
Pre geometry
 
Solving linear equations in two
Solving linear equations in twoSolving linear equations in two
Solving linear equations in two
 
Natural numbers
Natural numbersNatural numbers
Natural numbers
 
Logic
LogicLogic
Logic
 
Density
DensityDensity
Density
 
Mechanics
MechanicsMechanics
Mechanics
 
Divisibility
DivisibilityDivisibility
Divisibility
 
Free fall
Free fallFree fall
Free fall
 
Prime numbers and factorization
Prime numbers and factorizationPrime numbers and factorization
Prime numbers and factorization
 
Exponents
ExponentsExponents
Exponents
 
Motion in two dimensions
Motion in two dimensionsMotion in two dimensions
Motion in two dimensions
 
Force
ForceForce
Force
 
Radicals
RadicalsRadicals
Radicals
 
Fractions
FractionsFractions
Fractions
 

Kürzlich hochgeladen

Horngren’s Cost Accounting A Managerial Emphasis, Canadian 9th edition soluti...
Horngren’s Cost Accounting A Managerial Emphasis, Canadian 9th edition soluti...Horngren’s Cost Accounting A Managerial Emphasis, Canadian 9th edition soluti...
Horngren’s Cost Accounting A Managerial Emphasis, Canadian 9th edition soluti...ssuserf63bd7
 
Falcon Invoice Discounting: Aviate Your Cash Flow Challenges
Falcon Invoice Discounting: Aviate Your Cash Flow ChallengesFalcon Invoice Discounting: Aviate Your Cash Flow Challenges
Falcon Invoice Discounting: Aviate Your Cash Flow Challengeshemanthkumar470700
 
SEO Case Study: How I Increased SEO Traffic & Ranking by 50-60% in 6 Months
SEO Case Study: How I Increased SEO Traffic & Ranking by 50-60%  in 6 MonthsSEO Case Study: How I Increased SEO Traffic & Ranking by 50-60%  in 6 Months
SEO Case Study: How I Increased SEO Traffic & Ranking by 50-60% in 6 MonthsIndeedSEO
 
BeMetals Investor Presentation_May 3, 2024.pdf
BeMetals Investor Presentation_May 3, 2024.pdfBeMetals Investor Presentation_May 3, 2024.pdf
BeMetals Investor Presentation_May 3, 2024.pdfDerekIwanaka1
 
Al Mizhar Dubai Escorts +971561403006 Escorts Service In Al Mizhar
Al Mizhar Dubai Escorts +971561403006 Escorts Service In Al MizharAl Mizhar Dubai Escorts +971561403006 Escorts Service In Al Mizhar
Al Mizhar Dubai Escorts +971561403006 Escorts Service In Al Mizharallensay1
 
Mckinsey foundation level Handbook for Viewing
Mckinsey foundation level Handbook for ViewingMckinsey foundation level Handbook for Viewing
Mckinsey foundation level Handbook for ViewingNauman Safdar
 
Buy Verified TransferWise Accounts From Seosmmearth
Buy Verified TransferWise Accounts From SeosmmearthBuy Verified TransferWise Accounts From Seosmmearth
Buy Verified TransferWise Accounts From SeosmmearthBuy Verified Binance Account
 
Cracking the 'Career Pathing' Slideshare
Cracking the 'Career Pathing' SlideshareCracking the 'Career Pathing' Slideshare
Cracking the 'Career Pathing' SlideshareWorkforce Group
 
The Abortion pills for sale in Qatar@Doha [+27737758557] []Deira Dubai Kuwait
The Abortion pills for sale in Qatar@Doha [+27737758557] []Deira Dubai KuwaitThe Abortion pills for sale in Qatar@Doha [+27737758557] []Deira Dubai Kuwait
The Abortion pills for sale in Qatar@Doha [+27737758557] []Deira Dubai Kuwaitdaisycvs
 
Jual Obat Aborsi ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan Cytotec
Jual Obat Aborsi ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan CytotecJual Obat Aborsi ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan Cytotec
Jual Obat Aborsi ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan CytotecZurliaSoop
 
New 2024 Cannabis Edibles Investor Pitch Deck Template
New 2024 Cannabis Edibles Investor Pitch Deck TemplateNew 2024 Cannabis Edibles Investor Pitch Deck Template
New 2024 Cannabis Edibles Investor Pitch Deck TemplateCannaBusinessPlans
 
Lundin Gold - Q1 2024 Conference Call Presentation (Revised)
Lundin Gold - Q1 2024 Conference Call Presentation (Revised)Lundin Gold - Q1 2024 Conference Call Presentation (Revised)
Lundin Gold - Q1 2024 Conference Call Presentation (Revised)Adnet Communications
 
Getting Real with AI - Columbus DAW - May 2024 - Nick Woo from AlignAI
Getting Real with AI - Columbus DAW - May 2024 - Nick Woo from AlignAIGetting Real with AI - Columbus DAW - May 2024 - Nick Woo from AlignAI
Getting Real with AI - Columbus DAW - May 2024 - Nick Woo from AlignAITim Wilson
 
Famous Olympic Siblings from the 21st Century
Famous Olympic Siblings from the 21st CenturyFamous Olympic Siblings from the 21st Century
Famous Olympic Siblings from the 21st Centuryrwgiffor
 
Quick Doctor In Kuwait +2773`7758`557 Kuwait Doha Qatar Dubai Abu Dhabi Sharj...
Quick Doctor In Kuwait +2773`7758`557 Kuwait Doha Qatar Dubai Abu Dhabi Sharj...Quick Doctor In Kuwait +2773`7758`557 Kuwait Doha Qatar Dubai Abu Dhabi Sharj...
Quick Doctor In Kuwait +2773`7758`557 Kuwait Doha Qatar Dubai Abu Dhabi Sharj...daisycvs
 
Dr. Admir Softic_ presentation_Green Club_ENG.pdf
Dr. Admir Softic_ presentation_Green Club_ENG.pdfDr. Admir Softic_ presentation_Green Club_ENG.pdf
Dr. Admir Softic_ presentation_Green Club_ENG.pdfAdmir Softic
 
Arti Languages Pre Seed Teaser Deck 2024.pdf
Arti Languages Pre Seed Teaser Deck 2024.pdfArti Languages Pre Seed Teaser Deck 2024.pdf
Arti Languages Pre Seed Teaser Deck 2024.pdfwill854175
 
Falcon Invoice Discounting: Tailored Financial Wings
Falcon Invoice Discounting: Tailored Financial WingsFalcon Invoice Discounting: Tailored Financial Wings
Falcon Invoice Discounting: Tailored Financial WingsFalcon Invoice Discounting
 
Putting the SPARK into Virtual Training.pptx
Putting the SPARK into Virtual Training.pptxPutting the SPARK into Virtual Training.pptx
Putting the SPARK into Virtual Training.pptxCynthia Clay
 

Kürzlich hochgeladen (20)

Horngren’s Cost Accounting A Managerial Emphasis, Canadian 9th edition soluti...
Horngren’s Cost Accounting A Managerial Emphasis, Canadian 9th edition soluti...Horngren’s Cost Accounting A Managerial Emphasis, Canadian 9th edition soluti...
Horngren’s Cost Accounting A Managerial Emphasis, Canadian 9th edition soluti...
 
Falcon Invoice Discounting: Aviate Your Cash Flow Challenges
Falcon Invoice Discounting: Aviate Your Cash Flow ChallengesFalcon Invoice Discounting: Aviate Your Cash Flow Challenges
Falcon Invoice Discounting: Aviate Your Cash Flow Challenges
 
SEO Case Study: How I Increased SEO Traffic & Ranking by 50-60% in 6 Months
SEO Case Study: How I Increased SEO Traffic & Ranking by 50-60%  in 6 MonthsSEO Case Study: How I Increased SEO Traffic & Ranking by 50-60%  in 6 Months
SEO Case Study: How I Increased SEO Traffic & Ranking by 50-60% in 6 Months
 
BeMetals Investor Presentation_May 3, 2024.pdf
BeMetals Investor Presentation_May 3, 2024.pdfBeMetals Investor Presentation_May 3, 2024.pdf
BeMetals Investor Presentation_May 3, 2024.pdf
 
Al Mizhar Dubai Escorts +971561403006 Escorts Service In Al Mizhar
Al Mizhar Dubai Escorts +971561403006 Escorts Service In Al MizharAl Mizhar Dubai Escorts +971561403006 Escorts Service In Al Mizhar
Al Mizhar Dubai Escorts +971561403006 Escorts Service In Al Mizhar
 
Mckinsey foundation level Handbook for Viewing
Mckinsey foundation level Handbook for ViewingMckinsey foundation level Handbook for Viewing
Mckinsey foundation level Handbook for Viewing
 
Buy Verified TransferWise Accounts From Seosmmearth
Buy Verified TransferWise Accounts From SeosmmearthBuy Verified TransferWise Accounts From Seosmmearth
Buy Verified TransferWise Accounts From Seosmmearth
 
Cracking the 'Career Pathing' Slideshare
Cracking the 'Career Pathing' SlideshareCracking the 'Career Pathing' Slideshare
Cracking the 'Career Pathing' Slideshare
 
The Abortion pills for sale in Qatar@Doha [+27737758557] []Deira Dubai Kuwait
The Abortion pills for sale in Qatar@Doha [+27737758557] []Deira Dubai KuwaitThe Abortion pills for sale in Qatar@Doha [+27737758557] []Deira Dubai Kuwait
The Abortion pills for sale in Qatar@Doha [+27737758557] []Deira Dubai Kuwait
 
Jual Obat Aborsi ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan Cytotec
Jual Obat Aborsi ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan CytotecJual Obat Aborsi ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan Cytotec
Jual Obat Aborsi ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan Cytotec
 
New 2024 Cannabis Edibles Investor Pitch Deck Template
New 2024 Cannabis Edibles Investor Pitch Deck TemplateNew 2024 Cannabis Edibles Investor Pitch Deck Template
New 2024 Cannabis Edibles Investor Pitch Deck Template
 
Lundin Gold - Q1 2024 Conference Call Presentation (Revised)
Lundin Gold - Q1 2024 Conference Call Presentation (Revised)Lundin Gold - Q1 2024 Conference Call Presentation (Revised)
Lundin Gold - Q1 2024 Conference Call Presentation (Revised)
 
unwanted pregnancy Kit [+918133066128] Abortion Pills IN Dubai UAE Abudhabi
unwanted pregnancy Kit [+918133066128] Abortion Pills IN Dubai UAE Abudhabiunwanted pregnancy Kit [+918133066128] Abortion Pills IN Dubai UAE Abudhabi
unwanted pregnancy Kit [+918133066128] Abortion Pills IN Dubai UAE Abudhabi
 
Getting Real with AI - Columbus DAW - May 2024 - Nick Woo from AlignAI
Getting Real with AI - Columbus DAW - May 2024 - Nick Woo from AlignAIGetting Real with AI - Columbus DAW - May 2024 - Nick Woo from AlignAI
Getting Real with AI - Columbus DAW - May 2024 - Nick Woo from AlignAI
 
Famous Olympic Siblings from the 21st Century
Famous Olympic Siblings from the 21st CenturyFamous Olympic Siblings from the 21st Century
Famous Olympic Siblings from the 21st Century
 
Quick Doctor In Kuwait +2773`7758`557 Kuwait Doha Qatar Dubai Abu Dhabi Sharj...
Quick Doctor In Kuwait +2773`7758`557 Kuwait Doha Qatar Dubai Abu Dhabi Sharj...Quick Doctor In Kuwait +2773`7758`557 Kuwait Doha Qatar Dubai Abu Dhabi Sharj...
Quick Doctor In Kuwait +2773`7758`557 Kuwait Doha Qatar Dubai Abu Dhabi Sharj...
 
Dr. Admir Softic_ presentation_Green Club_ENG.pdf
Dr. Admir Softic_ presentation_Green Club_ENG.pdfDr. Admir Softic_ presentation_Green Club_ENG.pdf
Dr. Admir Softic_ presentation_Green Club_ENG.pdf
 
Arti Languages Pre Seed Teaser Deck 2024.pdf
Arti Languages Pre Seed Teaser Deck 2024.pdfArti Languages Pre Seed Teaser Deck 2024.pdf
Arti Languages Pre Seed Teaser Deck 2024.pdf
 
Falcon Invoice Discounting: Tailored Financial Wings
Falcon Invoice Discounting: Tailored Financial WingsFalcon Invoice Discounting: Tailored Financial Wings
Falcon Invoice Discounting: Tailored Financial Wings
 
Putting the SPARK into Virtual Training.pptx
Putting the SPARK into Virtual Training.pptxPutting the SPARK into Virtual Training.pptx
Putting the SPARK into Virtual Training.pptx
 

Radicals part 2

  • 2. Let a, b, m, and n be four real numbers, satisfying a = m + n and b = m⋅n. Then, Examples: Simplify the expressions. Use the property to help you.
  • 3. Changing the denominator of a fraction from an irrational number to a rational number is called rationalizing the denominator of the fraction. Rationalizing the denominator does not change the value of the original fraction.
  • 4. An expression with exactly two terms is called a binomial expression. Two binomial expressions whose first terms are equal and last terms are opposite are called conjugates, i.e. a + b and a – b are conjugates.