Question

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

Answer 1

Answer:

Choice A. $\frac{7\sqrt{x}}{6}$ is the correct choice.

Step-by-step explanation:

Given expression for the quotient is $\frac{\sqrt{98x^3}}{\sqrt{72x^2}}$.

Now we need to find the equivalent choice of $\frac{\sqrt{98x^3}}{\sqrt{72x^2}}$.

So let's find that by rewriting them inside same radical

$\frac{\sqrt{98x^3}}{\sqrt{72x^2}}$

$=\sqrt{\frac{98x^3}{72x^2}}$

$=\sqrt{\frac{49x^3}{36x^2}}$

$=\sqrt{\frac{49x}{36}}$

$=\frac{7\sqrt{x}}{6}$

Hence choice A. $\frac{7\sqrt{x}}{6}$ is the correct choice.