Chapter 9.4, Problem 20PPS

To determine

Find the solution.

Answer to Problem 20PPS

  $d=\pm 6.63$

Explanation of Solution

Given Information: $d^2+16=60$

Formula Used: Prime Factorization

Calculation:

  $d^2+16=60$

So,

  $d^2=60-16$

Hence,

  $d^2=44$

Now, square root both sides.

  $d=\sqrt{44}$

Now, Simplify by breaking into multiplication of prime numbers

  $\sqrt{44}=\sqrt{2\times 2\times 11}$

Now put the value of b.

  $d=\pm 2\sqrt{11}$

Hence,

  $d=\pm 6.63$