Chapter 9.4, Problem 21PPS

To determine

Find the solution.

Answer to Problem 21PPS

  $m=\pm 8.48$

Explanation of Solution

Given Information: $m^2=72$

Formula Used: Prime Factorization

Calculation:

  $m^2=72$

Now, square root both sides.

  $m=\sqrt{72}$

Now, Simplify by breaking into multiplication of prime numbers

  $\sqrt{72}=\sqrt{2\times 2\times 2\times 3\times 3}$

Now put the value of m.

  $m=\pm 2\times 3\sqrt{2}$

Hence,

  $m=\pm 8.48$