Rationalizing the Denominator

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

•  $\frac{7\sqrt{21}}{28}$  

•  $\frac{7\sqrt{21}}{196}$  

•  $\frac{\sqrt{21}}{28}$  

•  $\frac{\sqrt{21}}{4}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

• a

• b

• c

• d

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

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.HSA.APR.D.6

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

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

•  $6+3\sqrt{2}$  

•  $3\sqrt{2}+6$  

•  $6-3\sqrt{2}$  

• 18

Tags

CCSS.HSN.CN.A.3

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

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

•  $2-\sqrt{7}$  

•  $\sqrt{7}$  

•  $2+\sqrt{7}$  

•  $\sqrt{2}$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSN.RN.A.2

• A
• B
• C
• D

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSN.RN.A.2

• A

• B

• C

• D

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.REI.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Perform the operation.  Express your answer in simplest form.

• (2x³y√30)/(y⁴√3x)
• (2x³√30)/(y³√3x)
• (2x²√10x)/(y³)
• (2x²√5x)/(y³)

Tags

CCSS.HSA.APR.D.7

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2