SOLUTION: How do I solve this problem sqrt(7a) + sqrt (175a^3). I am not sure of the steps to take to work this out any help that you provide will be greatly apperciated.

Algebra ->  Square-cubic-other-roots -> SOLUTION: How do I solve this problem sqrt(7a) + sqrt (175a^3). I am not sure of the steps to take to work this out any help that you provide will be greatly apperciated.       Log On


   

Question 336103: How do I solve this problem sqrt(7a) + sqrt (175a^3).
I am not sure of the steps to take to work this out any help that you provide will be greatly apperciated.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
sqrt%287a%29%2Bsqrt%28175a%5E3%29
The second term can be simplified by factoring sqrt%28175a%5E3%29 into sqrt%2825%2A7%2Aa%2Aa%5E2%29 and you can move the squared quantities outside the radical after taking their square root to get 5a%2Asqrt%287a%29.
Now we have:
sqrt%287a%29%2B5a%2Asqrt%287a%29 Factor out the sqrt%287a%29.
highlight%28%281%2B5a%29sqrt%287a%29%29