Chapter 10.3, Problem 3P

Simplify each sum or difference.

$11\sqrt{5}-4\sqrt{5}$

To determine

To find: the difference of the expression.

Answer to Problem 3P

The difference of the expression is $7\sqrt{5}$ .

Explanation of Solution

Given information:

The expression is $11\sqrt{5}-4\sqrt{5}$ .

Calculation: to find the difference of the expression, first take the common and then subtract and simplify,

  $\begin{array}{l}11\sqrt{5}-4\sqrt{5}=\sqrt{5}\left(11-4\right)\text{ [take common ]}\\ 11\sqrt{5}-4\sqrt{5}=7\sqrt{5}\text{ [subtract]}\end{array}$

Thus, The difference of the expression is $7\sqrt{5}$ .