Chapter 0.2, Problem 24E

To determine

The square root of $\sqrt{361}$ .

Answer to Problem 24E

The square root of $\sqrt{361}$ is $19$ .

Explanation of Solution

Given information:

The number $\sqrt{361}$ .

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 $\sqrt{361}$ .

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

Rewrite $\sqrt{361}$ as,

  $\begin{array}{c}\sqrt{361}=\sqrt{19\times 19}\\ =19\end{array}$

Hence, the square root of $\sqrt{361}$ is $19$ .