Simplifying Radicals (Prep for 8.2)

Simplify the following radical: √32

• 3√2
• 4√8
• 16√2
• 4√2

Simplify: √72

• 7√9

• 4√6

• 6√2

• 3√4

Simplify
2√80

• 2√5
• 4√5
• 8√5
• 10√4

Which is the simplest form of $\sqrt{3}\cdot\sqrt{12}$  

•  $\sqrt{36}$  

• 6

•  $6\sqrt{3}$  

•  $3\sqrt{6}$  

Simplify

• √5

• -3√6

• -9√6

• $-9\sqrt{2}$

Simplify:
6√2 ⋅5√14

• 32√7
• 60√7
• 2√7
• 30√7

If you are asked to simplify $\frac{12}{\sqrt{3}}$ . What does "simplify" mean in this case?

• Dividing the common factor

• Taking the perfect square out of the square root

• Making the denominator free of square root

• Getting a common denominator

Which is the simplest form of $\frac{12}{\sqrt{3}}$ ?

•  $\frac{\sqrt{36}}{3}$  

•  $\frac{12\sqrt{2}}{\sqrt{6}}$  

•  $4\sqrt{3}$  

•  $2\sqrt{3}$  

Simplify.

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Which is the simplest form of $\frac{4\sqrt{5}}{\sqrt{2}}$ ?

•  $2\sqrt{10}$  

•  $\frac{20}{\sqrt{10}}$  

•  $\frac{4\sqrt{10}}{\sqrt{4}}$  

•  $8\sqrt{10}$