Radicals Day 2

Radicals Day 2

Multiplying, Dividing and Rationalization

Multiple Choice

 $\sqrt{72}$  

•  $6\sqrt{12}$  

•  $6\sqrt{2}$  

•  $3\sqrt{8}$  

•  $8\sqrt{9}$  

Multiple Choice

 $\left(4x^2\right)^{\frac{1}{2}}$  

•  $\sqrt{2x}$  

•  $2\sqrt{x}$  

•  $2\left|x\right|$  

•  $\left|x\right|\sqrt{2}$  

Multiple Choice

 $\sqrt{6}\cdot\sqrt{6}$  Simplify:

•  $\sqrt{36}$ 

•  $2\sqrt{3}$  

• 12

• 6

Multiple Choice

 $\sqrt{3}\cdot\sqrt{15}=$ 

•   $3\sqrt{5}$  

•  $5\sqrt{3}$  

•  $2\sqrt{7}$  

•  $\sqrt{17}$  

Multiple Choice

 $6\sqrt{2}\cdot5\sqrt{14}$  Simplify:

•  $32\sqrt{7}$  

•  $60\sqrt{7}$  

•  $2\sqrt{7}$  

•  $30\sqrt{7}$  

Multiple Choice

 $2\sqrt{5}\left(3\sqrt{3}+6\sqrt{2}\right)$  Simplify 

•  $6\sqrt{15}+12\sqrt{10}$  

•  $15\sqrt{6}+30\sqrt{10}$  

• 90

•  $6\sqrt{10}+12\sqrt{6}$  

Multiple Choice

 $\frac{\sqrt{7}}{\sqrt{2}}$  Simplify:

•  $\sqrt{5}$  

•  $\frac{\sqrt{14}}{2}$  

•  $\sqrt{7}$  

• Cannot be simplified

Multiple Choice

 $\frac{\sqrt{10x^5}}{\sqrt{5y^2}}$  Simplify:

•  $\frac{x^2\sqrt{2x}}{y}$  

•  $\frac{10x^2\sqrt{x}}{y\sqrt{5}}$ 

•  $\frac{2x^5}{y^2}$  

•  $x\sqrt{2x}$  

Multiple Choice

Simplify:  $\frac{7}{3+\sqrt{15}}$  

•  $\frac{21-7\sqrt{15}}{-6}$  

•   $\frac{21-\sqrt{95}}{-6}$  

•  $\frac{21+7\sqrt{15}}{24}$  

•  $\frac{-21-7\sqrt{15}}{24}$  

Multiple Choice

 $\frac{\sqrt{7}}{\sqrt{3}}$  

Simplify:

•  $\sqrt{3}$  
  

•  $\frac{\sqrt{21}}{3}$  
  

•  $\frac{\sqrt{30}}{3}$  
  

•  $\frac{\sqrt{35}}{5}$  
  

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