Chapter SH, Problem 10.3.15EP

To determine

The solution of the given expression.

Answer to Problem 10.3.15EP

  $69\sqrt{2}-10\sqrt{3}$

Explanation of Solution

Given:

The given expression is:

  $7\sqrt{98}+5\sqrt{32}-2\sqrt{75}$

Calculation:

The solution of the given expression will be:

  $\begin{array}{l}=7\sqrt{98}+5\sqrt{32}-2\sqrt{75}\\ =7\sqrt{2\times 7\times 7}+5\sqrt{2\times 2\times 2\times 2\times 2}-2\sqrt{3\times 5\times 5}\\ =49\sqrt{2}+20\sqrt{2}-10\sqrt{3}\\ =\left(49+20\right)\sqrt{2}-10\sqrt{3}\\ =69\sqrt{2}-10\sqrt{3}\end{array}$