How are squares and square roots related?

Answer 1

They are reverse operations, in the sense that if y is the square of x then x is a square root of y.

Remember though, that in the above scenario, -x is also a square root of y.

Answer 2

√n = n1/2

Explanation: To multiply two terms with the same base, you add the exponents, e.g. n2 x n3 = n5. If n1/2 x n1/2 = n1 (= n), then n1/2 must be √n.