Simplifying Radicals and Solving Quadratics by Square Roots

Solve using square roots.

• ±81

• ±9

• ±3

• No real solution

Solve.

x²=9

• x = ±9

• x = ± 3

• x = 0

• x = ± √3

Solve using square roots.

• ± 1/4

• ± 9/36

• ± 1/2

• No real solution

Solve for x

x² = 64

• x = 8, -8

• x = 32, -32

• x = 4, -4

• No real solution

• Step 1: Square both sides
• Step 1: cube both sides
• Step 1: subtract 3 from both sides
• Step 1: add 3 to both sides

Simplify √50

• 2√5

• 25√2

• 5√2

• 10√2

Solve and check your solution(s).

• x = 1

• x = 9

• x = all real solutions

• x = 9, 1

• x = 57
• x = 10
• x = 12
• x = -4

Solve:

• a

• b

• c

• d

Simplify the square root.

• A

• B

• C

• D