Question

Which choice is equivalent to the quotient shown here when x > 0?A.2xB.2x2C.D.

Answer 1

Given

$\sqrt{22x^6}\div \sqrt{11x^4}$

Solution

$\begin{gathered} \frac{\sqrt{22x^6}}{\sqrt{11x^4}}=\sqrt{\frac{22x^6}{11x^4}} \\ \\ =\sqrt{\frac{22x^6}{11x^4}} \\ \\ =\sqrt{2x^2} \\ \\ =x\sqrt{2} \end{gathered}$

The final answerOption C

$x\sqrt{2}$