Rationalize the denominator. Assume that all variables represent positive real numbers.
-$\frac{9 \sqrt{29 \mathrm{x}}}{\sqrt{\mathrm{x}^{3}}}$

A) $\frac{9 \sqrt{29}}{x}$

B) $\frac{261}{x}$

C) $\frac{9 \sqrt{29 x}}{x}$

D) $9 x \sqrt{29}$

Question

Rationalize the denominator. Assume that all variables represent positive real numbers. 
-$\frac{9 \sqrt{29 \mathrm{x}}}{\sqrt{\mathrm{x}^{3}}}$

A) $\frac{9 \sqrt{29}}{x}$

B) $\frac{261}{x}$

C) $\frac{9 \sqrt{29 x}}{x}$

D) $9 x \sqrt{29}$

Quizplus · Accepted Answer

To rationalize the denominator, multiply the numerator and denominator by $\sqrt{x}$ to get $\frac{9 \sqrt{29x}}{x}$, which simplifies to $\frac{9 \sqrt{29}}{x}$.

Rationalize the Denominator 929xx3\frac{9 \sqrt{29 \mathrm{x}}}{\sqrt{\mathrm{x}^{3}}}x3​929x​​ A) 929x\frac{9 \sqrt{29}}{x}x929​​ B) 261x\frac{261}{x}x261​ C) 929xx\frac{9 \sqrt{29 x}}{x}x929x​​

Rationalize the Denominator $\frac{9 \sqrt{29 \mathrm{x}}}{\sqrt{\mathrm{x}^{3}}}$ A) $\frac{9 \sqrt{29}}{x}$ B) $\frac{261}{x}$ C) $\frac{9 \sqrt{29 x}}{x}$