Chapter 7, Problem 44SGR

To determine

To simplify $\sqrt{\frac{2}{5}}\cdot \sqrt{\frac{3}{4}}$ .

Answer to Problem 44SGR

  $\sqrt{\frac{2}{5}}\cdot \sqrt{\frac{3}{4}}=\sqrt{\frac{3}{10}}$

Explanation of Solution

Given:

  $\sqrt{\frac{2}{5}}\cdot \sqrt{\frac{3}{4}}$

Calculation:

  $\begin{array}{l}\sqrt{\frac{2}{5}}\cdot \sqrt{\frac{3}{4}}=\sqrt{\frac{2}{5}\times \frac{3}{4}}\\ =\sqrt{\frac{6}{20}}\\ =\sqrt{\frac{2\times 3}{2\times 10}}\\ =\sqrt{\frac{3}{10}}\end{array}$