Solving problems involving mixed operations on radicals

Simplify:

 $2\sqrt{18}-\sqrt{27}-\sqrt{50}$  

•  $\sqrt{2}-3\sqrt{3}$   

•  $2\sqrt{-59}$  

•  $-2\sqrt{2}-3\sqrt{3}$  

•  $-3.782$  

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CCSS.HSN.RN.A.2

 $\left(-2+5\sqrt{3}\right)^2$  

•  $4+25\sqrt{9}$  

•  $79-20\sqrt{3}$  

• 79

•  $71-100\sqrt{3}$  

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CCSS.HSN.RN.A.2

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CCSS.HSN.RN.A.2

 $\sqrt{169}+^3\sqrt{2744}-\sqrt{361}$  

• -8

• 27

• 8

• 46

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CCSS.HSN.RN.A.2

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CCSS.HSN.RN.A.2

Simplify the radical

• 
• 
• 
• 

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CCSS.HSN.RN.A.2

Rationalize the denominator:
 $\frac{2\sqrt{8}}{\sqrt{12}}$  

•  $\frac{\sqrt{96}}{6}$  

•  $\frac{2\sqrt{6}}{3}$  

•  $\frac{2\sqrt{96}}{12}$  

•  $\frac{4\sqrt{2}}{2\sqrt{3}}$  

Tags

CCSS.HSN.RN.A.2

 $\left(4\sqrt{2}+\sqrt{5}\right)^2$  

•  $16\sqrt{2}+\sqrt{5}$  

•  $37$  

•  $37+8\sqrt{10}$  

•  $13$  

Tags

CCSS.HSN.RN.A.2

• A
• B
• C
• D

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CCSS.HSN.RN.A.2

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CCSS.HSN.RN.A.2