Chapter 11.6, Problem 8ST

To determine

To solve: the given expression.

Answer to Problem 8ST

  $n=7$ .

Explanation of Solution

Given:

The given expression is $n^2-49=0$ .

Calculation:

As the given expression is $n^2-49=0$ .

Therefore,

  $\begin{array}{l}{n}^2-49=0\\ n^2=49\left\{\text{ add 49 on both the sides}\right\}\\ \left\{\text{taking square root on both the sides}\right\}\\ \therefore n=\sqrt{49}\\ n=\sqrt{7^2}\left\{simplify\right\}\\ n=7\{\because \sqrt{a^2}=a\}\end{array}$

Hence, the solution of the given expression is $n=7$ .