Square Roots and Cube Roots

Perfect Squares

100

3²

9

200

5²

25

300

7²

49

400

9²

81

500

10²

100

Perfect Cubes

100

1³

1

200

3³

27

300

5³

125

400

7³

343

500

9³

729

Square Roots

100

sqrt(4)

2 and -2

200

sqrt(16)

4 or -4

300

sqrt(100)

10 or -10

400

sqrt(36)

6 or -6

500

A square park has an area of 144 meters squares. What is the edge length of the park?

12 meters

Cube Roots

100

root(3)(8)

2

200

root(3)(-64)

-4

300

root(3)(343)

7

400

root(3)(1,728)

12

500

A cube has the volume of 512 inches cubed. What is the edge length of the cube?

8 inches

True or False

100

Is, 

4^3 = sqrt(64)?

False,

64 and 8

200

Is,

root(3)8 = sqrt(4)?

True,

2

300

Is,

sqrt(169) = root(3)2197?

True,

13

400

Is,

7 = sqrt14?

False,

7 and 3.74

500

Does a square with an area of 81 centimeters squared have the same edge length as a cube with 27 cubic centimeters?

False,

9 cm and 3 cm