Chapter 0.2, Problem 33E

To determine

The square root of $\sqrt{252}$ to the nearest whole number.

Answer to Problem 33E

The square root of $\sqrt{252}$ to the nearest whole number is $16$ .

Explanation of Solution

Given information:

The number $\sqrt{252}$ .

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 $\sqrt{252}$ .

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

Simplify $\sqrt{252}$ as,

  $\sqrt{252}=15.874$

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

  $\sqrt{252}\approx 16$

Hence, the square root of $\sqrt{252}$ to the nearest whole number is $16$ .