Question

Which expression is equivalent to ?

Answer 1

Answer:

FIRST OPTION.

Step-by-step explanation:

Given the expression $\sqrt{\frac{2x^5}{18}}$, you can find an equivalent expression simplifying.

The first step is to descompose 18 into its prime factors:

$18=2*3*3=2*3^2$

Remember the Product of powers property, which states that:

$(a^m)(a^n)=a^{(m+n)}$

Then you can rewrite the expression in this form:

 $\sqrt{\frac{2x^4x}{2*3^2}$

Knowing that $\sqrt[n]{a^n}=a$, you get the following equivalent expression:

$\sqrt{\frac{2x^4x}{2*3^2}$

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

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

Answer 2

Answer:

Your answer would be A

Step-by-step explanation:

First you gotta reduce that fraction. Then square root the 9 (which is 3) and as well as radicalize x^5, which is x^2/x