Simplify each expression. All variables represent positive numbers.

Question

Sqrt of 75p^3q^2 divide by sqrt of p^5q^4

My answer:
5q sqrt of 3 / p^2q^2

Is this right?

Answer 1

Not quite.

√(75p^3q^2) = 5√3 pq√p
√(p^5q^4) = p^2q^2 √p
divide and you end up with (5√3)/(pq)

Hmm. I guess you could have meant

5√(3/(p^2q^2))
but that simplifies to my result above