Chapter 0.2, Problem 32E

To determine

The square root of $\sqrt{112}$ to the nearest whole number.

Answer to Problem 32E

The square root of $\sqrt{112}$ to the nearest whole number is $11$ .

Explanation of Solution

Given information:

The number $\sqrt{112}$ .

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 $\sqrt{112}$ .

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

Simplify $\sqrt{112}$ as,

  $\sqrt{112}=10.583$

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

  $\sqrt{112}\approx 11$

Hence, the square root of $\sqrt{112}$ to the nearest whole number is $11$ .