Question

Which expression is equivalent to StartRoot StartFraction 2 x Superscript 5 Baseline Over 18 EndFraction EndRoot? Assume x greater-than-or-equal-to 0. StartFraction x squared StartRoot x EndRoot Over 3 EndFraction StartFraction 3 StartRoot x EndRoot Over x squared EndFraction StartFraction StartRoot x EndRoot Over 3 x squared EndFraction StartFraction 2 x StartRoot x EndRoot Over 3 EndFraction

Answer 1

Answer:

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

Step-by-step explanation:

We have been given an expression $\sqrt{\frac{2x^5}{18}}$. We are asked to find which expression is equivalent to our given expression.

Let me simplify our given expression. First of all we will divide 18 by 2 as:

$\sqrt{\frac{2x^5}{2\cdot 9}}$

$\sqrt{\frac{x^5}{9}}$

Now we will rewrite $x^5 \text{ as } x^4\cdot x$.

$\sqrt{\frac{x^4\cdot x}{9}}$

Now we will write $x^4\text{ and } 9$ as perfect squares.

$\sqrt{\frac{(x^2)^2\cdot x}{3^2}}$

Let us factor our perfect square from square-root.

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

Therefore, option A is the correct choice.

Answer 2

Answer:

it's A on edge

Step-by-step explanation: