Question

Which choice is equivalent to the quotient shown here when x>0

Answer 1

${\sqrt{\frac{72x^{3}}{50x^{{2}}}} = \frac{\sqrt{72x^{3}}}{\sqrt{50x^{2}}} = \frac {\sqrt{36 * x^{2} * 2 * x}}{\sqrt{25 * x^{2} * 2}} = \frac{\sqrt{36}\sqrt{x^{2}}\sqrt{2}\sqrt{x}}{\sqrt{25}\sqrt{x^{2}}\sqrt{2}} = \frac{6x\sqrt{2x}}{5x\sqrt{2}} = 1\frac{1}{5}\sqrt{x}$

The answer is equal to C. $\frac{6\sqrt{x}}{5}$.