SOLUTION: What would be the answer to the radical: {{{ (4 sqrt 75)- (2 sqrt 147) }}}? Thank you so much =] (Hope that's the correct way to type it out)

Algebra ->  Radicals -> SOLUTION: What would be the answer to the radical: {{{ (4 sqrt 75)- (2 sqrt 147) }}}? Thank you so much =] (Hope that's the correct way to type it out)      Log On


   

Question 196124: What would be the answer to the radical:
+%284+sqrt+75%29-+%282+sqrt+147%29+?
Thank you so much =] (Hope that's the correct way to type it out)
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What would be the answer to the radical:
---------
(4 sqrt 75)- (2 sqrt 147)
---
4sqrt(25*3) - 2sqrt(3*49)
---
4*5sqrt(3) - 2*7sqrt(3)
---
20sqrt(3) - 14sqrt(3)
---
6sqrt(3)
=================
Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
4%2Asqrt%2875%29+-+2%2Asqrt%28147%29
4%2Asqrt%2825%2A3%29+-+2%2Asqrt%2849%2A3%29
4%2Asqrt%2825%29%2Asqrt%283%29+-+2%2Asqrt%2849%29%2Asqrt%283%29
2%2Asqrt%283%29%2A%282%2Asqrt%2825%29+-+sqrt%2849%29%29
Square roots can be (+) or (-), so there are
potentially 4 answers to this problem, I'm
not sure if only the (+) square root is
being called for. If so the answer is:
2%2Asqrt%283%29%2A%282%2A5+-+7%29
2%2Asqrt%283%29%2A3
6%2Asqrt%283%29 answer
I have a hunch that's all that's needed