Question

Which of the following does (squareroot t)^2 simplify to, for any nonnegative real number t?

A.t^2
B.square root t
C.1
D.t

Answer 1

The answer is D. t

Explanation:

(Square root t)^2

i.e (√t)²

Since √t = t^1/2

Therefore

(√t)² = t^(1/2*2)

= t¹

= t