Question

What is the square root of 25p^3 expressed in simplified form?

Answer 1

the first step to solving this is to factor out the perfect square of 5²

`\sqrt{ 5^(2) p^(3) }`
next,, factor out the perfect square of p³

`\sqrt{ 5^(2) p^(2) x p}`
the root of a product is equal to the product of the roots of each factor
√5² √p² √p
now reduce the first index of the radical and the exponent with 2
5√p² √p
then reduce the second index of the radical and exponent with
5p√p
this means that the correct answer to your question is 5p√p
let me know if you have any further questions
:)