Squares Roots and
Cube Roots
square - to multiply a number by itself
square root - a value that, when multiplied by itself, gives
the number.
• to square a number is the opposite of taking the square
root
cube- to multiply a number by itself three times
cube root - special value that, when used in a multiplication
three times, gives that number.
• to cube a number is the opposite of taking the cube root
Perfect Squares
Square Roots
12 = 1
√1 = 1
22 = 4
√4 = 2
32 = 9
√9 = 3
42 = 16
√16 = 4
52 = 25
√25 = 5
62 = 36
√36 = 6
72 = 49
√49 = 7
82 = 64
√64 = 8
92 = 81
√81 = 9
102 = 100
√100 = 10
112 = 121
√121 = 11
122 = 144
√144 = 12
132 = 169
√169 = 13
142 = 196
√196 = 14
152 = 225
√225 = 15
162 = 256
√256 = 16
172 = 289
√289 = 17
182 = 324
√324 = 18
192 = 361
√361 = 19
202 = 400
√400 = 20
212 = 441
√441 = 21
222 = 484
√484 = 22
232 = 529
√529 = 23
242 = 576
√576 = 24
252 = 625
√625 = 25
302 = 900
√900 = 30
402 = 1600
√1600 = 40
502 = 2500
√2500 = 50
1
Perfect Cube
Cube Roots
√1 = 1
1 =1
3
23 = 8
3
33 = 27
3
4 = 64
3
5 = 125
3
63 = 216
3
7 = 343
3
83 = 512
3
93 = 729
3
103 = 1000
3
3
3
3
3
√8 = 2
√27 = 3
√64 = 4
• every square root has two possible answers
√36
√36
√125 = 5
√216 = 6
√343 = 7
√512 = 8
-√
negative answer
√
positive answer
±√
negative and
positive answer
√729 = 9
√1000 = 10
2