Question

Which of the following does (17) simplify to, for any nonnegative realnumber r?

Answer 1

r (option A)

Explanation:$(\sqrt[]{r})^2$

If the values of r are non negative, let r = 6

$\begin{gathered} (\sqrt[]{6})^2\text{ = 6} \\ \text{The square cancels the square root} \end{gathered}$

Hence, in this case the square cancels the square root and the result will be r.

So, for any non negative value of (√r²), the result is r (option A)