Concepts in irrational numbers

In the image, what is the index?

• The value a.

• The value n.

• None of the variables are the index.

Simplify.

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• 
• 
• 

Evaluate √289

• 14

• 15

• 16

• 17

∛8 = _____

• 2
• 4
• 16
• 24

Simplifying a Square Root:

 $\sqrt{perfect\ square}\times\sqrt{non\ perfect\ square}$   $example:\ \ \sqrt{45}$  

•  $9\sqrt{5}$  

•  $5\sqrt{9}$  

•  $3\sqrt{5}$  

•  $5\sqrt{3}$  

Which is equivalent to 3?

• 
• $\sqrt{27}$

• 
• 

∛297w⁶g⁶

• 3wg∛11
• 3w²g²∛11
• 3w³g³∛11
• 3w²g²√11

Simplify the radical...
√20a²b⁴

• 2ab²√5
• 4ab²√5
• 5ab²√2
• 2a²b²√5

• Yes

• No