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2. Surds
By the end of the lesson you should be able to:
• Distinguish between the different sets of numbers.
• Simplify expressions involving surds.
• Rationalise fractions with surds in the denominator.
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3. Sets of numbers
= {1, 2, 3, 4,...} Natural numbers
= {...,­2,­1,0 , 1 ,2 ,3,...}
Integer numbers
= {any number that can be expressed as a fraction}
Rational numbers
0.2 50
terminating decimals whole
recurring decimals numbers
fractions
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4. Irrational numbers: cannot be expressed as
fractions
π 4.01001000100001...
= ∪ {Irrationals}
Real numbers
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6. Circle the irrational numbers:
1.3
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7. Rational or irrational?
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8. n = 3
Ring any of these which are rational when
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9. When a root cannot be found exactly, then the
root is called a surd.
Surds or Radicals
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10. Irrational numbers on the number line
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12. Basic rules:
If a and b are positive:
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14. Simplify:
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17. end first lesson:
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21. Simplification of surds
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22. Operations with surds
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23. Multiplication of surds
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24. http://www.mymaths.co.uk/gold/Alevel/core1/indices/indices4Surds1.html
Surds worksheet.doc
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25. http://www.maths­bingo.com
See next exercise at the end of the lesson
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26. Attachments
Surds worksheet.doc