RATIONALIZE THE DENOMINATOR

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CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

CCSS.HSA.SSE.B.3

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• D

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CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

CCSS.HSA.SSE.B.3

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CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

Perform the operation.  Express your answer in simplest form.

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

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CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

CCSS.HSA.APR.D.7

Rationalize the denominator of the expression. Assume that all variables are positive.  $\frac{15\sqrt{60x^5}}{3\sqrt{12x}}$  

•  $10x^2\sqrt{5}$  

•  $5x^2\sqrt{5}$  

•  $5x\sqrt{10}$  

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CCSS.HSN.RN.A.2

 $\frac{\sqrt{3xy^2}}{\sqrt{5xy^3}}$  Rationalize the denominator of the expression. Assume that all variables are positive.

•  $\frac{\sqrt{15y}}{5y}$  

•  $\frac{3\sqrt{5y}}{5y}$  

•  $\frac{\sqrt{5y}}{5y}$  

•  $\frac{\sqrt{15y}}{y}$  

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CCSS.HSN.RN.A.2

 $\frac{\sqrt{5x^4}}{\sqrt{2x^2y^3}}$  Rationalize the denominator of the expression. Assume that all variables are positive.

•  $\frac{\sqrt{10y}}{2y^2}$  

•  $\frac{x^2\sqrt{10y}}{2y^2}$  

•  $\frac{x\sqrt{10y}}{y^2}$  

•  $\frac{x\sqrt{10y}}{2y^2}$  

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CCSS.HSN.RN.A.2

 $\frac{3\sqrt{11x^3y}}{-2\sqrt{12x^4y}}$  Rationalize the denominator of the expression. Assume that all variables are positive.

•  $\frac{x\sqrt{33}}{-4x}$  

•  $\frac{\sqrt{33x}}{-4x}$  

•  $\frac{11\sqrt{3x}}{-4x}$  

•  $\frac{11\sqrt{x}}{-4x}$  

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CCSS.HSN.RN.A.2

 $\frac{\sqrt{40x^5y^3z^7}}{\sqrt{3x^3yz}}$  Rationalize the denominator of the expression. Assume that all variables are positive.

•  $\frac{2xyz^3\sqrt{30}}{3}$  

•  $\frac{2x^2yz\sqrt{30}}{3}$  

•  $\frac{2xyz\sqrt{30}}{3}$  

•  $\frac{2xyz^2\sqrt{30}}{3}$  

 $\frac{\sqrt{12x^4y^2}}{\sqrt{5xy}}$  Rationalize the denominator of the expression. Assume that all variables are positive.

•  $\frac{2x^2\sqrt{15y}}{5}$  

•  $\frac{2xy\sqrt{15}}{5}$  

•  $\frac{2x\sqrt{15y}}{5}$  

•  $\frac{2x\sqrt{15xy}}{5}$  

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CCSS.HSN.RN.A.2