Chapter 10.3, Problem 9P

Simplify each sum or difference.

$6\sqrt{8}-2\sqrt{50}$

To determine

To find: the difference of the expression.

Answer to Problem 9P

The difference of the expression is $2\sqrt{2}$ .

Explanation of Solution

Given information:

The expression is $6\sqrt{8}-2\sqrt{50}$ .

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

  $\begin{array}{l}6\sqrt{8}-2\sqrt{50}=12\sqrt{2}-10\sqrt{2}\text{ [simplify]}\\ 6\sqrt{8}-2\sqrt{50}=\sqrt{2}\left(12-10\right)\text{ [take common ]}\\ 6\sqrt{8}-2\sqrt{50}=2\sqrt{2}\text{ [subtract]}\end{array}$

Thus, The difference of the expression is $2\sqrt{2}$ .