Properties of Radicals - Product Property and Quotient Prop

 $\sqrt{32}$  Simplify the expression

•  $2\sqrt{3}$  

•  $8$  

•  $4\sqrt{2}$  

•  $16\sqrt{2}$  

Simplify the Expression:  

 $-\sqrt{72}$  

• not possible (not a real number)

•  $6\sqrt{2}$  

•  $-36\sqrt{2}$  

•  $-6\sqrt{2}$  

 $\sqrt{4x^2}$  

Simplify the Expression:  

•  $4x$  

•  $2x$  

•  $2x^2$  

•  $2\sqrt{x}$  

 Simplify the Expression:  $\sqrt{48n^5}$  

 

•  $24n^2\sqrt{n}$  

•  $4n^2\sqrt{3n}$  

•  $8n\sqrt{3n}$  

•  $24n^2\sqrt{n}$  

 $-\sqrt{\frac{7}{81}}$  

Simplify the Expression:

• Not possible - (not a real number)

•  $-\frac{7}{9}$  

•  $-\frac{\sqrt{7}}{9}$  

•  $-\frac{\sqrt{7}}{81}$  

 $\sqrt{\frac{65}{121}}$  

Simplify the Expression:

•  $\frac{\sqrt{65}}{11}$  

•  $\frac{\sqrt{65}}{121}$  

•  $\frac{3\sqrt{5}}{11}$  

•  $\frac{11}{\sqrt{65}}$  

 $\sqrt{\frac{144}{k^2}}$  Simplify the Expression

•  $\frac{72}{k}$  

•  $\frac{12}{k^2}$  

•  $\frac{\sqrt{144}}{k}$  

•  $\frac{12}{k}$  

 $\sqrt{\frac{25v^2}{36}}$  

Simplify the Expression

•  $\frac{5v^2}{6}$  

•  $\frac{25v}{36}$  

•  $\frac{5v}{6}$  

•  $\frac{36}{5v}$  

Simplify the Expression:

This should be a "cube root" with an index of 3:

 $\sqrt{-108}$  

•  $-3∛4$  

•  $-2∛27$  

• Not possible - Not a Real Number

•  $-9∛4$  

 $-∛(343n^2)$  

Simplify the Expression (all values are inside the cube root)

• Not Possible (not a real number)

•  $-7n\$  

• Does not simplify any more

•  $-7∛(n^2)$