Factoring and Square Roots

Which of these areas is a perfect square?

• 12

• 90

• 40

• 64

If I know the area of a square, how do I find the side length?

• I square the area.

• I divide the area by 2.

• I take the square root of the area.

• I divide the area by 4.

What is the side length of a square that has an area of 36?

• 9

• 18

• 6

• 1296

Solve for x.

x² = 36

• x = ± 6

• x = ± 18

• x = 6

• x = 18

Simplify the square root.

• A

• B

• C

• D

Reduce to lowest terms: √169

• 13

• 12

• 3√7

• 9√2

Given the roots, what were the possible factors? Choose ALL that apply.

Solve using square roots.

• ±√9

• ±3

• ±1

• No real solution

A square garden has an area equal to (a² + 20a + 100) square  meters. Find th length of one of the sides of the garden.

• (a + 20) ft.

• (a + 10) ft. 

• (a - 10) ft.

Simplify the square root.

• A

• B

• C

• D