Rationalizing Radicals

Rationalize the denominator:

 $\frac{3}{\sqrt{7}}$  

•  $\frac{\sqrt{7}}{3}$  

•  $\frac{3}{7}$  

•  $\frac{3\sqrt{7}}{7}$  

•  $\frac{3\sqrt{3}}{\sqrt{21}}$  

Tags

CCSS.HSN.RN.A.2

Rationalize the denominator:

 $\frac{5}{\sqrt{5}}$  

•  $\sqrt{5}$  

•  $\frac{1}{\sqrt{5}}$  

•  $5\sqrt{5}$  

•  $\frac{\sqrt{5}}{5}$  

Tags

CCSS.HSA.SSE.B.3

Rationalize the denominator:

 $\frac{15\sqrt{3}}{\sqrt{5}}$  

•  $3\sqrt{3}$  

•  $3\sqrt{15}$  

•  $\sqrt{15}$  

•  $45\sqrt{15}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSN.RN.A.2

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

•  $\frac{\sqrt{15}}{6}$  

•  $\frac{\sqrt{15}}{18}$  

•  $\frac{5\sqrt{3}}{6}$  

•  $\frac{5\sqrt{3}}{18}$  

Tags

CCSS.HSN.RN.A.2

Rationalize the denominator:
 $\frac{2\sqrt{8}}{\sqrt{12}}$  

•  $\frac{\sqrt{96}}{6}$  

•  $\frac{2\sqrt{6}}{3}$  

•  $\frac{2\sqrt{96}}{12}$  

•  $\frac{4\sqrt{2}}{2\sqrt{3}}$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Rationalize the denominator:
 $\frac{7\sqrt{3}}{4\sqrt{7}}$  

•  $\frac{7\sqrt{21}}{28}$  

•  $\frac{7\sqrt{21}}{196}$  

•  $\frac{\sqrt{21}}{28}$  

•  $\frac{\sqrt{21}}{4}$  

Rationalize the denominator:
 $\frac{\sqrt{4}}{\sqrt{121}}$  

•  $\frac{4}{11}$  

•  $\frac{\sqrt{484}}{121}$  

•  $\frac{2}{11}$  

•  $\frac{2\sqrt{121}}{121}$  

Tags

CCSS.HSN.RN.A.2

Rationalize the denominator:
 $\frac{7\sqrt{3}}{\sqrt{10}}$  

•  $\frac{70\sqrt{3}}{10}$  

•  $\frac{7\sqrt{3}}{100}$  

•  $\frac{7\sqrt{30}}{10}$  

•  $7\sqrt{3}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Rationalize the denominator:
 $\frac{1}{4\sqrt{10}}$  

•  $\frac{\sqrt{1}}{4}$  

•  $\frac{\sqrt{10}}{40}$  

•  $\frac{1}{4}$  

•  $\frac{\sqrt{10}}{400}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Rationalize the denominator:  $\frac{5}{\sqrt{7}}$  

•  $\frac{5\sqrt{7}}{7}$  

•  $\frac{\sqrt{35}}{7}$  

•  $\frac{7\sqrt{5}}{7}$  

•  $\frac{35}{7}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2