Simplifying Radicals

 $\sqrt{144}$  

• 14

• 12

•  $\sqrt{12}$  

 $\sqrt{75}$  

• 5 $\sqrt{3}$  

•  $3\sqrt{5}$  

•  $25\sqrt{3}$  

 $\sqrt{2x^2y^5}$  

•  $2xy^2\sqrt{y}$  

•  $xy^2\sqrt{2y}$  

•  $2xy\sqrt{y}$  

In the given radical expression  $\sqrt{5}$  , 
5 is the radicand.

• True

• False

 $\sqrt{48x^7y^3z^4}$  

•  $4x^3yz^2\sqrt{3xy}$  

•  $16x^3yz^2\sqrt{3xy}$  

•  $3x^2yz\sqrt{3xy}$  

 $\sqrt{25m^9}$  

•  $5m^3$  

•  $5m^4\sqrt{m}$  

•  $5m^3\sqrt{m}$  

 $\sqrt{128a^5b^8}$  

•  $2a^2b^4\sqrt{2a}$  

•  $2a^2b^4\sqrt{8a}$  

•  $8a^2b^4\sqrt{2a}$  

Rationalization is the process of eliminating radicals in the denominator.

• TRUE

• FALSE

 $\sqrt{\frac{2}{10}}$  

•  $\frac{1}{5}$  

•  $\sqrt{\frac{1}{5}}$  

•  $\frac{\sqrt{5}}{5}$  

•  $\frac{1}{\sqrt{5}}$  

The radical expression  $\frac{1}{\sqrt{2}}$  is in its simplest form. 

• TRUE

• FALSE