Chapter 0.2, Problem 33E

To determine

To find: .The given square root to nearest whole number.

Answer to Problem 33E

The given square root to nearest whole numberis 16.

Explanation of Solution

Given information:

The square root is $\sqrt{252}$ .

Calculation:

Consider the squares of the number.

$1,4,9,16,25,64,81,100,121,144,\mathrm{..}$

The square number is between,

$\begin{array}{l}196<112<256\\ \sqrt{256}<\sqrt{252}<\sqrt{256}\\ 15<\sqrt{252}<16\end{array}$

The inequality is shown on number line below.

Thus, the nearest number is 16.