Chapter 9.4, Problem 22PPS

To determine

Find the solution.

Answer to Problem 22PPS

  $n=\pm 13$

Explanation of Solution

Given Information: $n^2=169$

Formula Used: Prime Factorization

Calculation:

  $n^2=169$

Now, square root both sides.

  $n=\sqrt{169}$

Now, Simplify by breaking into multiplication of prime numbers

  $\sqrt{169}=\sqrt{13\times 13}$

Now, pull out pair of prime numbers.

  $\sqrt{169}=\pm 13$

Now put the value of n.

  $n=\pm 13$