Question

How do you simplify it? I know the answer is 6_/6p but I don’t really know *how* to get there.

Answer 1

The answer is

`6 √(6p)`

Explanation:

`√(216p)`

First of all factor out the perfect square

From the question the perfect square is 36

We have

`√(36 * 6p)`

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

That's

`√(36 * 6p) = √(36) * √(6p)`

Simplify

`√(36) = 6`

So we have

`6 * √(6p)`

We have the final answer as

`6 √(6p)`

Hope this helps you