1. A perfect square is a number that is the square of a whole number. It can be represented by arranging objects in a square pattern. 2. The first 10 whole numbers that are perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100. 3. The square root of a number is another number that, when multiplied by itself, gives the original number. It is indicated by the radical symbol.

2. •Also called a “perfect square”
•A number that is the square of a whole
number
•Can be represented by arranging
objects in a square

3. 1 2 3 4 5 6 7 8 9
1 1 2 3 4 5 6 7 8 9
2 2 4 6 8 10 12 14 16 18
3 3 6 9 12 15 18 21 24 27
4 4 8 12 16 20 24 28 32 36
5 5 10 15 20 25 30 35 40 45
6 6 12 18 24 30 36 42 48 54
7 7 14 21 28 35 42 49 56 63
8 8 16 24 32 40 48 56 63 72
9 9 18 27 36 45 54 63 72 81

4. •To square a number means to multiply
it by itself
4 squared means 4 x 4
•Take the number 4
and square it

5. •There is a shorter way to write 5 x 5
•52 read as 5 squared or 5 to the 2nd power
52
base
exponent

6. Evaluate
a. 72
b. 32
c. 62
d. 82
49
9
36
64

7. NUMBER
SQUARED
FACTORS
STANDARD
FORM
92
9 x 9 81
112
11 x 11 121
72
7 x 7 49
102
10 x 10 100

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

11. The opposite operation to
squaring a number is taking
the square root

12. What does square root means?
-The square root of a number is another
number which when multiplied by itself
gives back the original number

13. 𝟏𝟐 1 𝟏 1
𝟐𝟐 4 𝟒 2
𝟑𝟐 9 𝟗 3
𝟒𝟐 16 𝟏𝟔 4
𝟓𝟐 25 𝟐𝟓 5
𝟔𝟐 36 𝟑𝟔 6

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

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