Question

How’d do you simplify it?

Answer 1

The answer is

`8 √(3) \: {m}^(2)`

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 * 3 {m}^(4) }`

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

So we have

`\sqrt{64 * {3m}^(4) } = √(64) * √(3) * \sqrt{ {m}^(4) } \\`

Simplify

`√(64) = 8 \\ \sqrt{ {m}^(4) } = {m}^(2)`

So we have

`8 * √(3) * {m}^(2)`

We have the final answer as

`8 √(3) \: {m}^(2)`

Hope this helps you