9. •If a number is a perfect square, then
you can find its square root.
•A perfect square is simply a number
that can be written as the square of
another number
10. •What are the first 10 whole numbers
that are perfect squares?
•12 , 22, 32, 42 , 52 , 62 , 72 , 82, 92 , 102
•1, 4, 9, 16, 25, 36, 49,64, 81,100
14. •The symbol used to indicate a root is
the radical symbol
𝑛
𝑎
radical symbol
radicand
index
15. •The index of a radical is a whole
number greater than or equal to 2
•The index of a square root is always 2
•The square root of 49 could be written
as
2
49
•But is normally written as 49
16. Give the square root of the following :
1. 𝟏𝟔
2. 𝟏𝟎𝟎
3. 𝟔𝟒
4. 𝟐𝟓
4
10
8
5
17.
18. A non-perfect square is a number whose
square root is not a whole number
Example:
𝟒𝟎 , 𝟏𝟎, 𝟓, 𝟗𝟐
19. Tell whether the principal roots of each number is
rational or irrational
1. 𝟏𝟔 6. 𝟕𝟐
2. 𝟐𝟒 7. 𝟒𝟗
3. 𝟑𝟔 8. 𝟏𝟓
4. 𝟑 9. 𝟖𝟏
5 𝟏𝟐𝟏 10. 𝟏𝟎𝟎
rational
irrational
rational
irrational
rational
irrational
rational
irrational
rational
rational
20. Between which two consecutive integers does the
square root lie
Between 7 & 8
Between 8 & 9
Between 3 & 4
Between 7 & 8
Between 11 & 12
Between 15 & 16
Between 2 & 3
Between 9 & 10
Between 6 & 7
Between 10 & 11
21. Between which two consecutive integers does the
square root lie?
1. 𝟓𝟓 6. 𝟏𝟑𝟎
2. 𝟐𝟑 7. 𝟖𝟕
3. 𝟑 8. 𝟐𝟏𝟎
4. 𝟏𝟒 9. 𝟔𝟏
5. 𝟒𝟒 10. 𝟑𝟎𝟎
Between 7 & 8
Between 4 & 5
Between 2 & 3
Between 3 & 4
Between 6 & 7
Between 11 & 12
Between 9 & 10
Between 14 & 15
Between 7 & 8
Between 17 & 18