Chapter 10.3, Problem 6P

Simplify each sum or difference.

$\sqrt{7}-4\sqrt{7}$

To determine

To find: the difference of the expression.

Answer to Problem 6P

The difference of the expression is $-3\sqrt{7}$ .

Explanation of Solution

Given information:

The expression is

  $\sqrt{7}-4\sqrt{7}$ .

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

  $\begin{array}{l}\sqrt{7}-4\sqrt{7}=\sqrt{7}\left(1-4\right)\text{ [take common ]}\\ \sqrt{7}-4\sqrt{7}=-3\sqrt{7}\text{ [subtract]}\end{array}$

Thus, The difference of the expression is $-3\sqrt{7}$ .