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

Answer:

The answer is

$6 \sqrt{6p}$

Step-by-step explanation:

$\sqrt{216p}$

First of all factor out the perfect square

From the question the perfect square is 36

We have

$\sqrt{36 \times 6p}$

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

That's

$\sqrt{36 \times 6p} = \sqrt{36} \times \sqrt{6p}$

Simplify

$\sqrt{36} = 6$

So we have

$6 \times \sqrt{6p}$

We have the final answer as

$6 \sqrt{6p}$

Hope this helps you