Question

How’d do you simplify it?

Answer 1

Answer:

The answer is

$8 \sqrt{3} \: {m}^{2}$

Step-by-step explanation:

$\sqrt{192 {m}^{4} }$

First of all factor out the perfect square

From the question the perfect square is 64

We have

$\sqrt{64 \times 3 {m}^{4} }$

The root of a product is equal to the product of the roots of each factor

So we have

$\sqrt{64 \times {3m}^{4} } = \sqrt{64} \times \sqrt{3} \times \sqrt{ {m}^{4} }$

Simplify

$\sqrt{64} = 8 \\ \sqrt{ {m}^{4} } = {m}^{2}$

So we have

$8 \times \sqrt{3} \times {m}^{2}$

We have the final answer as

$8 \sqrt{3} \: {m}^{2}$

Hope this helps you