Problems With Square Root

This is the symbol of:

• square root

• cube root

• ratio (division)

• percentage

Which of the following are perfect squares? (check all that apply)

• 36

• 8

• 50

• 81

• 90

49 is . . .

• a perfect square

• not a perfect square

The area of a square painting is 81 cm². What is the side length of the painting?

• 40.5 cm

• 162 cm

• 6,561 cm

• 9 cm

The square root of 225 is

• rational

• irrational

What does this symbol represent?

• square root

• cube root

• divide by 2

• divide by 3

Valencia, Saralyn, and Emily are solving math problems. They need to determine the approximate value of the square root of 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

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

Is 64 a perfect square, perfect cube, both, or neither?

• perfect square

• perfect cube

• both

• neither

If p varies directly as the square of q and inversely as the square root of r, and p = 60 when q = 6 and r = 81, find p when q = 8 and r = 144.

• 70

• 80

• 90

• 100