Chapter 0.2, Problem 34E

To determine

The square root of $\sqrt{415}$ to the nearest whole number.

Answer to Problem 34E

The square root of $\sqrt{415}$ to the nearest whole number is $20$ .

Explanation of Solution

Given information:

The number $\sqrt{415}$ .

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 $\sqrt{415}$ .

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

Simplify $\sqrt{415}$ as,

  $\sqrt{415}=20.371$

Rounding it off to the nearest whole number , we get,

  $\sqrt{415}\approx 20$

Hence, the square root of $\sqrt{415}$ to the nearest whole number is $20$ .