Rationalizing Denominators

What is the conjugate of:
 $5+\sqrt{7}$  

• 18

•  $5+\sqrt{7}$  

•  $5-\sqrt{7}$  

• 32

Multiply:
 $\left(4+\sqrt{2}\right)\left(4-\sqrt{2}\right)$  

•  $16-\sqrt{2}$  

•  $4-\sqrt{2}$  

• 14

• 18

What should you multiply $\frac{6}{1-\sqrt{5}}$  by to rationalize the denominator?

• -4

•  $1-\sqrt{5}$  

•  $1+\sqrt{5}$  

•  $-\frac{\left(3-3\sqrt{5}\right)}{2}$  

What is the conjugate of:
 $8+3\sqrt{6}$  

•  $8+3\sqrt{6}$  

•  $3\sqrt{6}-8$  

•  $8-3\sqrt{6}$  

•  $3\sqrt{6}+8$  

What is the conjugate of:
 $4\sqrt{2}-\sqrt{5}$  

•  $4\sqrt{2}+\sqrt{5}$  

•  $\sqrt{5}+4$  

•  $4\sqrt{2}-\sqrt{5}$  

• 27

What should you multiply $\frac{3\sqrt{2}}{2-\sqrt{7}}$  by to rationalize the denominator?

•  $2-\sqrt{7}$  

•  $\sqrt{7}$  

•  $2+\sqrt{7}$  

•  $\sqrt{2}$  

What is the conjugate of:
 $-3\sqrt{2}-6$  

•  $-3\sqrt{2}+6$  

•  $3\sqrt{2}+6$  

•  $-6-3\sqrt{2}$  

•  $-2\sqrt{3}-6$  

Rationalize the following: $\frac{\sqrt{2}}{\sqrt{3}+\sqrt{5}}$  

•  $\frac{\sqrt{6}-\sqrt{10}}{8}$  

•  $\frac{\sqrt{6}-\sqrt{10}}{-2}$  

•  $\frac{\sqrt{6}+\sqrt{10}}{8}$  

•  $\frac{2\sqrt{3}+2\sqrt{5}}{-2}$  

 $\frac{-2}{1+\sqrt{6}}$  Rationalize the following:

•  $\frac{1+\sqrt{6}}{-2}$  

•  $\frac{-2+2\sqrt{6}}{-5}$  

•  $-\frac{2\sqrt{6}}{6}$  

•  $-2\sqrt{6}$  

Rationalize the denominator

• A. 
• B. 
• C.
• D.