How do you simplify \frac { \sqrt { 63} + 24} { 3}?

2 Answers
Apr 5, 2018

8+sqrt7

Explanation:

(sqrt63+24)/3
=((sqrt9xxsqrt7)+24)/3
=((3xxsqrt7)+24)/3
=(3(sqrt7+8))/3
=8+sqrt7

Apr 5, 2018

sqrt(7) + 8

Explanation:

  1. First, you would simplify the square root of 63 by splitting it into sqrt(7) multiplied by sqrt(9) (because 9xx7=63).
  2. Then sqrt(9) reduces to 3, so you have 3sqrt(7) + 24 (ignoring the dividing by 3 for now).
  3. Then take 3sqrt(7) + 24 and divide each term by 3.
  4. The 3's in 3sqrt(7) would cancel and give you sqrt(7).
  5. The 24 divided by 3 would give you 8.
  6. So your final answer is sqrt(7) + 8