Square Roots and Cube Roots

A square poster has an area of 81 square inches. What is the length of each side of the square?

• 3 inches

• 9 inches

• 20.25 inches

• 40.5 inches

What does this symbol represent?

• square root

• divide by 2

• cube root

• greater than or less than

Which task do you think is the easiest?

• Determining the area of a square given the side length.

• Determining the volume of a cube given the side length.

• Determining the side length of a square given the area.

• Determining the side length of a cube given the volume,

Which representations are equal to 64?

• 8²

• 32²

• (-8)(-8)

• 4³

• 21³

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

• 6 feet

• 8 feet

• 108 feet

Valencia, Saralyn, and Emily are solving math problems to win a race. They need to determine the approximate value of  $\sqrt{47}$ . Saralyn insists the value is closer to 7, while Emily is sure it is closer to 8. Valencia thinks the value is closer to 6. Who do you agree with?

• Saralyn 

• Emily

• Valencia

What is the difference between the area of square A and square B.

Square A has side lengths of 5 cm and square B has side lengths of 7 cm.

• 2 cm²

• 4 cm²

• 16 cm²

• 24 cm

• 24 cm²

The area of Nisreen's garden is 131 square feet. About how many feet is the length of each side? Round to the nearest whole number!

• 11 feet

• 12 feet

• 13 feet

• 65.5 feet

Listen and solve!!

• 5

• 12

• 125

• 625