Simplifying Radicals

√48

• 4√2
• 6√3
• 4√3
• 4√2

√96

• 4√6
• 3√6
• 6√5
• 6√8

The number under the radical sign or square root sign  is called the ______.

• radical sign
• radicand
• factor
• exponent

Simplify the following radical: 2√24

• 4√6
• 2√6
• 24√2
• 4√4

Simplify:
√200

• 10√2
• 2√10
• 50√2
• 2√50

√243

• 3√3
• 9√3
• 81√3
• 3√81

Simplify 5√80

• 20√5

• 4√5

• 5√20

• 4√5

Rationalize the denominator.

 $\frac{4}{\sqrt{5}}$  

•  $\frac{4\sqrt{5}}{5}$  

•  $\frac{\sqrt{5}}{4}$  

•  $\frac{\sqrt{6}}{3}$  

•  $\frac{5\sqrt{2}}{2}$  

Rationalize the denominator.
 $\frac{5}{6\sqrt{2}}$ 

•  $\frac{5\sqrt{2}}{6\sqrt{4}}$  

•  $\frac{5\sqrt{2}}{12}$  

•  $\frac{30\sqrt{2}}{24}$  

•  $\frac{\sqrt{10}}{5}$  

Rationalize the denominator.
 $\frac{\sqrt{4}}{\sqrt{5}}$  

•  $\frac{\sqrt{10}}{5}$  

•  $\frac{2\sqrt{5}}{5}$  

•  $\frac{\sqrt{5}}{2}$  

•  $\frac{\sqrt{15}}{3}$