Dividing and Rationalizing Higher Order Radicals

 $^3\sqrt{\frac{\text{1}}{\text{8}}}$  

•  $\frac{1}{4}$  

• 2

•  $\frac{1}{^3\sqrt{2}}$  

•  $\frac{1}{2}$  

Tags

CCSS.8.EE.A.2

Simplify the radical  $^3\sqrt{\frac{12}{125}}$  

•  $^3\sqrt{\frac{12}{125}}$  

•  $\frac{^3\sqrt{12}}{5}$  

•  $\frac{2^{\ 3}\sqrt{3}}{5}$  

•  $\frac{12}{5}$  

Tags

CCSS.HSN.RN.A.2

Simplify $^3\sqrt{\frac{4}{9x^2}}$  

•  $\frac{^3\sqrt{36x}}{9x}$  

•  $\frac{^3\sqrt{324x^2}}{9x}$  

•  $\frac{^3\sqrt{12x}}{3x}$  

•  $\frac{^3\sqrt{324x}}{81}$  

 Which of the following would be appropriate choice for multiplying the numerator and the denominator of $\frac{^3\sqrt{2}}{^3\sqrt{5}}$ in order to rationalize the denominator?

•  $^3\sqrt{5}$  

•  $^3\sqrt{3}$  

•  $^3\sqrt{2}$  

•  $^3\sqrt{25}$  

Simplify:  $\frac{-3}{^5\sqrt{x^6}}$  

•  $-\frac{3^{\ 5}\sqrt{x^4}}{x}$  

•  $\frac{-3^{\ 5}\sqrt{x^4}}{x^2}$  

•  $\frac{-3\ ^5\sqrt{x}}{x^2}$  

•  $\frac{-3^{\ 5}\sqrt{x^2}}{x^2}$  

Simplify: $\frac{^4\sqrt{128}}{^4\sqrt{2}}$  

•  $2^{\ 4}\sqrt{2}$  

•  $^4\sqrt{64}$  

•  $2\ ^4\sqrt{4}$  

• 8

Tags

CCSS.HSN.RN.A.2

Simplify:  $^3\sqrt{\frac{240x^9y^7}{3x^{-2}y}}$  

•  $^3\sqrt{80x^7y^6}$  

•  $8x^2y\left(^3\sqrt{10x}\right)$  

•  $2x^2y^2\left(^3\sqrt{10x}\right)$  

•  $2x^3y^2\left(^3\sqrt{10x}\right)$