Square Roots and Cube Roots

Which representations are equal to 64?

• 8²

• (-8)(-8)

• 21³

• 32²

• 4³

Leona is so excited. Her grandma is ordering a cubic hot tub that has a volume of 216 ft³. Her grandma needs to know how long each side is to order trim. What is the length of each side?

• 4 feet

• 8 feet

• 6 feet

• 108 feet

Valencia, Saralyn, and Emily are solving math problems to win a race. They need to determine the side length of a square with an are of 64 in². Valencia says the side length is 4 in., Saralyn says the side length is 8 in., and Emily says the side length is 16 in. Who is correct?

• Valencia

• Saralyn

• Emily

 $Evaluate:\ -\sqrt{144}$  

• -12

• 12

•  $\pm12$  

•  $\frac{1}{12}$  

 $Evaluate:\ \sqrt{\frac{49}{25}}$  

•  $\frac{7}{5}$  

•  $\frac{5}{7}$  

•  $\pm\frac{7}{5}$  

•  $\pm\frac{5}{7}$  

 $Evaluate:\ \sqrt{169}$  

• 13

• 14

• 15

• 16

Manny is building a square Hope Chest for his daughter who is getting married this summer. The total volume of the box is 125 ft cubed. What is the side length of the Hope Chest?

• 5

• 15

• 25

• -5

Which of these is NOT a perfect square?

• 144

• 121

• 36

• 72

Simplify.

•  $\frac{6}{7}$  

•  $\sqrt{\frac{6}{7}}$  

•  $\frac{4}{9}$  

•  $\frac{6}{9}$  

Which of these is both a perfect square AND a perfect cube?

• 64

• 81

• 125

• 225