Chapter CSB, Problem 2.30E

To determine

To simplify: the given square root.

Answer to Problem 2.30E

  $\frac{\sqrt{14}}{\sqrt{5}}=1.67$ .

Explanation of Solution

Given:

The given square rootis $\frac{\sqrt{14}}{\sqrt{5}}$ .

Calculation:

As the given square root is $\frac{\sqrt{14}}{\sqrt{5}}$ .

Now, to simplify the square root, therefore,

  $\begin{array}{l}\frac{\sqrt{14}}{\sqrt{5}}=\sqrt{\frac{14}{5}}\left\{\because \frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}\right\}\\ \frac{\sqrt{14}}{\sqrt{5}}=\sqrt{2.8}\{\text{simplify}}\\ \therefore \frac{\sqrt{14}}{\sqrt{5}}=1.67\end{array}$

Hence, the simplification of the given function is $\frac{\sqrt{14}}{\sqrt{5}}=1.67$ .