Rationalizing the Denominator (w/sum or difference) - IA

Rationalize the denominator and simplify if possible.
 $\frac{\sqrt{3}}{\sqrt{5}-4}$  

•  $-\frac{\sqrt{15}+4\sqrt{3}}{11}$  

•  $-\frac{\sqrt{42}-3\sqrt{6}}{2}$  

•  $2\sqrt{3}-2\sqrt{2}$  

•  $4\sqrt{5}+4\sqrt{3}$  

Rationalize the denominator and simplify if possible.
 $\frac{\sqrt{6}}{\sqrt{7}+3}$  

•  $-\frac{\sqrt{15}+4\sqrt{3}}{11}$  

•  $-\frac{\sqrt{42}-3\sqrt{6}}{2}$  

•  $2\sqrt{3}-2\sqrt{2}$  

•  $4\sqrt{5}+4\sqrt{3}$  

Rationalize the denominator and simplify if possible.
 $\frac{2}{\sqrt{2}+\sqrt{3}}$  

•  $-\frac{\sqrt{15}+4\sqrt{3}}{11}$  

•  $-\frac{\sqrt{42}-3\sqrt{6}}{2}$  

•  $2\sqrt{3}-2\sqrt{2}$  

•  $4\sqrt{5}+4\sqrt{3}$  

Rationalize the denominator and simplify if possible.
 $\frac{8}{\sqrt{5}-\sqrt{3}}$  

•  $-\frac{\sqrt{15}+4\sqrt{3}}{11}$  

•  $-\frac{\sqrt{42}-3\sqrt{6}}{2}$  

•  $2\sqrt{3}-2\sqrt{2}$  

•  $4\sqrt{5}+4\sqrt{3}$  

Rationalize the denominator and simplify if possible.
 $\frac{\sqrt{5}}{\sqrt{7}-\sqrt{3}}$  

•  $\frac{59+21\sqrt{5}}{44}$  

•  $\frac{\sqrt{6}}{3}$  

•  $-\frac{5\sqrt{2}+4\sqrt{5}}{3}$  

•  $\frac{\sqrt{35}+\sqrt{15}}{4}$  

Rationalize the denominator and simplify if possible.
 $\frac{\sqrt{10}}{\sqrt{5}-2\sqrt{2}}$  

•  $\frac{59+21\sqrt{5}}{44}$  

•  $\frac{\sqrt{6}}{3}$  

•  $-\frac{5\sqrt{2}+4\sqrt{5}}{3}$  

•  $\frac{\sqrt{35}+\sqrt{15}}{4}$  

Rationalize the denominator and simplify if possible.
 $\frac{2-\sqrt{6}}{\sqrt{6}-3}$  

•  $\frac{59+21\sqrt{5}}{44}$  

•  $\frac{\sqrt{6}}{3}$  

•  $-\frac{5\sqrt{2}+4\sqrt{5}}{3}$  

•  $\frac{\sqrt{35}+\sqrt{15}}{4}$  

Rationalize the denominator and simplify if possible.
 $\frac{7+2\sqrt{5}}{7-\sqrt{5}}$  

•  $\frac{59+21\sqrt{5}}{44}$  

•  $\frac{\sqrt{6}}{3}$  

•  $-\frac{5\sqrt{2}+4\sqrt{5}}{3}$  

•  $\frac{\sqrt{35}+\sqrt{15}}{4}$  

Rationalize the denominator and simplify if possible.
 $\frac{\sqrt{3}+\sqrt{7}}{\sqrt{3}-\sqrt{7}}$  

•  $-\frac{5+\sqrt{21}}{2}$  

•  $8+3\sqrt{6}$  

•  $\frac{2x+y\sqrt{x}-y^2}{x-y^2}$  

•  $\frac{\sqrt{35}+\sqrt{15}}{4}$  

Rationalize the denominator and simplify if possible.
 $\frac{2\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$  

•  $-\frac{5+\sqrt{21}}{2}$  

•  $8+3\sqrt{6}$  

•  $\frac{2x+y\sqrt{x}-y^2}{x-y^2}$  

•  $\frac{\sqrt{35}+\sqrt{15}}{4}$