Question

Select the correct answer.

Answer 1

Given:

Consider the complete question is "Which expression is equivalent to $8\sqrt{6}$? A. $\sqrt{14}$  B.  $\sqrt{748}$ C. $\sqrt{196}$ D. $\sqrt{384}$".

To find:

The equivalent expression.

Solution:

We have,

$8\sqrt{6}$

It can be written as

$=(\sqrt{8})^2\sqrt{6}$

$=\sqrt{8}\cdot \sqrt{8}\codt \sqrt{6}$

$=\sqrt{8\cdot 8\cdot 6}$          $[\because \sqrt{a}\sqrt{b}=\sqrt{ab}]$

$=\sqrt{384}$

So, $\sqrt{384}$ is equivalent to $8\sqrt{6}$.

Therefore, the correct option is D.