Chapter 10.3, Problem 1P

Simplify each sum or difference.

$3\sqrt{7}+5\sqrt{7}$

To determine

To find: the sum of the expression.

Answer to Problem 1P

The sum of the expression is $8\sqrt{7}$ .

Explanation of Solution

Given information:

The expression is $3\sqrt{7}+5\sqrt{7}$ .

Calculation: to find the sum of the expression, first take the common and then add and simplify,

  $\begin{array}{l}3\sqrt{7}+5\sqrt{7}=\sqrt{7}\left(3+5\right)\text{ [take common ]}\\ 3\sqrt{7}+5\sqrt{7}=8\sqrt{7}\text{ [add]}\end{array}$

Thus, The sum of the expression is $8\sqrt{7}$ .