SOLUTION: hi, I'm doing a math program I'm instructed to do, and I'm wondering if you could help me please. This counts towards whether I will get into accel. Algebra. Thanks so much!!

Algebra ->  Square-cubic-other-roots -> SOLUTION: hi, I'm doing a math program I'm instructed to do, and I'm wondering if you could help me please. This counts towards whether I will get into accel. Algebra. Thanks so much!!       Log On


   

Question 720137: hi, I'm doing a math program I'm instructed to do, and I'm wondering if you could help me please.
This counts towards whether I will get into accel. Algebra.
Thanks so much!!
24x to the 14th power square rooted.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
24x to the 14th power square rooted.
.
Looks like:
sqrt%2824x%5E14%29
we can break up the x's like this:
sqrt%2824x%5E7x%5E7%29
now, we can take "pairs" out from underneath the radical:
x%5E7%2Asqrt%2824%29
factoring the 24 to prime numbers:
x%5E7%2Asqrt%282%2A2%2A2%2A3%29
now, take out one pair of 2's:
2x%5E7%2Asqrt%282%2A3%29
final answer:
2x%5E7%2Asqrt%286%29