Square and Cubic Roots

Would you classify 121 as a Perfect Square, Perfect Cube, Both, or neither?

• Perfect Square

• Perfect Cube

• Both

• Neither

The volume of a cube-shaped box is 729 cubic feet. What is the length of each side of the box?

Mathematical Equivalence

ON

Rylie is cutting a piece of paper to cover an old square-shaped poster that is hanging in her locker. The area of the poster is 196 square inches. What is the length of each side of her paper?

Mathematical Equivalence

ON

Which of the following are true?

• 125 is a perfect cube

• 49 is a perfect square

• 25 is a perfect cube

• 21 is neither a perfect square or a perfect cube

• 2197 is both a perfect square and a perfect cube

Would you classify 170 as a Perfect Square, Perfect Cube, both, or neither?

• Perfect Square

• Perfect Cube

• Both

• Neither

Write an equation for this phrase, "The square root of x is equal to 3."

• x² = 3

• x² = 9

• √x = 3

• √x = 9

Solve for x when x= √16 

• x = 2

• x = 4

• x = 8

• x = 32

(cube root of 8)

• 2

• -2

• None of the above 

Find the cube root of -2197

• 13

• -13

• 14

• -14

Find the cube root of 512

• 7

• 8

• 9

• 11