Simplifying Radicals

• A

• B

• C

• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

• A

• B

• C

• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

• A

• B

• C

• D

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CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify and then subtract:

3√2 - 3√18

• -4√8

• 4√9-6√3

• 5√12

• -6√2

Tags

CCSS.HSN.RN.A.2

 $2\sqrt{27}+8\sqrt{3}+5\sqrt{8}$  

•  $24\sqrt{3}$  

•  $24\sqrt{3}+5\sqrt{8}$  

•  $14\sqrt{3}+10\sqrt{2}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify the expression:

• √2 - 3√3
• 2√-59
• -2√2 - 3√3
• -3.782

Tags

CCSS.HSN.RN.A.2

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• C
• D

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CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Rationalize the denominator:
 $\frac{2\sqrt{8}}{\sqrt{12x^3}}$  

•  $\frac{\sqrt{96x}}{6x^2}$  

•  $\frac{2\sqrt{6x}}{3x^2}$  

•  $\frac{2x\sqrt{6x}}{3}$  

•  $\frac{4\sqrt{2x}}{2x\sqrt{3}}$  

Tags

CCSS.HSN.RN.A.2

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

•  $16-\sqrt{2}$  

•  $4-\sqrt{2}$  

• 14

• 18

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.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