Chapter CSB, Problem 2.16E

To determine

To simplify: the given square root.

Answer to Problem 2.16E

  $2\sqrt{32}=11.31$ .

Explanation of Solution

Given:

The given square rootis $10\sqrt{90}$ .

Calculation:

As the given square root is $10\sqrt{90}$ .

Now, to simplify the square root, therefore,

  $\begin{array}{l}10\sqrt{90}=10\sqrt{3\times 3\times 5\times 2}\\ =10\times 3\times \sqrt{10}\\ =30\sqrt{10}=94.8683\\ \therefore 10\sqrt{90}=94.86\{\text{round}}\end{array}$

Hence, the square root to the nearest whole number is $10\sqrt{90}=94.86$ .