Chapter 9.4, Problem 18PPS

To determine

Find the solution.

Answer to Problem 18PPS

  $b=\pm 5.74$

Explanation of Solution

Given Information: $2b^2=66$

Formula Used: Prime Factorization

Calculation:

  $2b^2=66$

So,

  $b^2=\frac{66}{2}$

Hence,

  $b^2=33$

Now, square root both sides.

  $b=\sqrt{33}$

Now, Simplify by breaking into multiplication of prime numbers

  $\sqrt{33}=\sqrt{3\times 11}$

Now put the value of b.

  $b=\pm \sqrt{33}$

Hence,

  $b=\pm 5.74$