(√a)^2

Question

How do I solve this?

THank you!!!

Answer 1

by definition (√a)^2 = a

or, using the rules of exponents,
√a = a^(1/2)
so, (√a)^2 = (a^(1/2))^2 = a^(2 * 1/2) = a^1 = a

Answer 2

any square root multiplied by itself is the base number.

sqrt(3)*sqrt(3)=(sqrt(3))^2=3