Respuesta :

Answer:

The answer is

[tex]6 \sqrt{6p} [/tex]

Step-by-step explanation:

[tex] \sqrt{216p} [/tex]

First of all factor out the perfect square

From the question the perfect square is 36

We have

[tex] \sqrt{36 \times 6p} [/tex]

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

That's

[tex] \sqrt{36 \times 6p} = \sqrt{36} \times \sqrt{6p} [/tex]

Simplify

[tex] \sqrt{36} = 6[/tex]

So we have

[tex]6 \times \sqrt{6p} [/tex]

We have the final answer as

[tex]6 \sqrt{6p} [/tex]

Hope this helps you

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