Chapter 0.2, Problem 23E

To determine

To find: The square root of $-\sqrt{25}$ .

Answer to Problem 23E

The square root of $-\sqrt{25}$ is $-5$ .

Explanation of Solution

Given information:

The number $-\sqrt{25}$ .

Formula used:

The square root property which states that square root of any number can be expressed as,

  $\sqrt{{\text{a}}^2}=\text{a}$

Calculation:

Consider the given $-\sqrt{25}$ .

Recall the square root property $\sqrt{{\text{a}}^2}=\text{a}$ .

Rewrite $-\sqrt{25}$ as,

  $\begin{array}{c}-\sqrt{25}=-\sqrt{5\times 5}\\ =-5\end{array}$

Hence, the square root of $-\sqrt{25}$ is $-5$ .