1. Squares and Square Roots
Objective
Find the square and square root of a number

2. Squaring a Number
42 means 4 x 4 = 16. It is called 4 squared and 16 is called a square number.
A square with sides that are 4 long has an area of 16 units2
42 = 16
You can see the reason for calling it 4 squared and why 16 is a square number

3. Copy and complete this table
32 =
62 =
152 =
302 =
52 =
122 =
252 =
142 =
12 =
202 =
132 =
72 =
112 =
182 =
172 =
102 =
162 =
22 =
92 =
1002 =
82 =
192 =

4. Answers
32 = 9
62 = 36
152 = 225
302 = 900
52 = 25
122 = 144
252 = 625
142 = 196
12 = 1
202 = 400
132 = 169
72 = 49
112 = 121
182 = 324
172 = 289
102 = 100
162 = 256
22 = 4
502 = 2500
92 = 81
402 = 1600
82 = 64
192 = 361

5. √16 means ‘the square root of 16’ and √16 = 4
Square Roots
√16 means ‘the square root of 16’ and √16 = 4
A square with an area of 16 has sides that are 4 long.
Another way to find the square root is you can think, “what number, times itself, equals ____?”
Ex. For the √36 you want a number, times itself that equals x 6 = 36 so the square root of 36 is 6.

6. √9 = √36 = √225 = √900 = √25 = √144 = √625 = √196 = √1 = √400 = √169 =
Copy and complete this table
√9 =
√36 =
√225 =
√900 =
√25 =
√144 =
√625 =
√196 =
√1 =
√400 =
√169 =
√49 =
√121 =
√324 =
√289 =
√ 100 =
√256 =
√4 =
√2500 =
√81 =
√1600 =
√64 =
√361 =

7. Answers
√9 = 3
√36 = 6
√225 = 15
√900 = 30
√25 = 5
√144 = 12
√625 = 25
√196 = 14
√1 = 1
√400 = 20
√169 = 13
√49 = 7
√121 = 11
√324 = 18
√289 = 17
√ 100 = 10
√256 = 16
√4 = 2
√2500 = 50
√81 = 9
√1600 = 40
√64 = 8
√361 = 19