Chapter CSB, Problem 2.18E

To determine

To simplify: the given square root.

Answer to Problem 2.18E

  $\sqrt{3}\cdot \sqrt{18}=7.34$ .

Explanation of Solution

Given:

The given square rootis $\sqrt{3}\cdot \sqrt{18}$ .

Calculation:

As the given square root is $\sqrt{3}\cdot \sqrt{18}$ .

Now, to simplify the square root, therefore,

  $\begin{array}{l}\sqrt{3}\cdot \sqrt{18}=\sqrt{3}\cdot \sqrt{2\times 3\times 3}\\ =\sqrt{3}\cdot 3\times \sqrt{2}\\ =3\left(\sqrt{2}\cdot \sqrt{3}\right)\\ =3\left(\sqrt{6}\right)\\ =7.3484\\ \therefore \sqrt{3}\cdot \sqrt{18}=7.34\{\text{round}}\end{array}$

Hence, the square root to the nearest whole number is $\sqrt{3}\cdot \sqrt{18}=7.34$ .