How do you simplify sqrt(27/p^2)?

1 Answer
Sep 26, 2016

=(3sqrt(3))/p

Explanation:

Write the values under the root in factor form, trying to make squares where possible.

Find the square roots where you can.

sqrt(27/p^2) = sqrt((3xx9)/p^2) =sqrt(3xx3^2xxp^-2
=sqrt(3)xxsqrt(3^2)xxsqrt((p^-1)^2)

by mathematical definition
sqrt(3)=sqrt(3)
sqrt(3^2)=3
sqrt((p^-1)^2)=sqrt((1/p)^2)=1/p
=3xx1/psqrt3
=(3sqrt(3))/p