Operations with Square Roots

Squaring square roots

By Dave Diehl

Inverse operations

Remember, squaring and square roots are inverse operations like adding and subtracting.

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(√​9)² gives you back the 9 you started with

Square/Square roots

9+2-2 gives you back the 9 you started with.

Adding/Subtracting

Inverse Operations

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Multiple Choice

$$\left(\sqrt[]{6}\right)^2$$  

• 6

• 12

• 36

• approximately 2.5

Multiple Choice

$$\left(\sqrt[]{16}\right)^2$$  

• 4

• 8

• 16

• 32

Multiple Choice

$$6^2$$  

• 6

• 36

• approximately 2.5

• 12

Multiple Choice

$$\sqrt[]{16}$$  

• 4

• 8

• 32

• 16

Multiple Choice

$$\left(\sqrt[]{8}\right)^2$$  

• 8

• 64

• 16

• 4