SOLUTION: {{{(4 sqrt 3-3 sqrt 2) (5 sqrt 3+3 sqrt 2)}}}

Algebra ->  Square-cubic-other-roots -> SOLUTION: {{{(4 sqrt 3-3 sqrt 2) (5 sqrt 3+3 sqrt 2)}}}      Log On


   

Question 225166: %284+sqrt+3-3+sqrt+2%29+%285+sqrt+3%2B3+sqrt+2%29
Answer by LtAurora(115) About Me  (Show Source):
You can put this solution on YOUR website!
%284%2Asqrt%283%29-3%2Asqrt%282%29%29%2A%285%2Asqrt%283%29%2B3%2Asqrt%282%29%29
Distribute this out:

Then, start combining things:
%284%2A3%2A5%29%2B%284%2A3%2Asqrt%286%29%29-%283%2A5%2Asqrt%286%29%29-%283%2A3%2A2%29
%2860%29%2B%2812%2Asqrt%286%29%29-%2815%2Asqrt%286%29%29-%2818%29
We can combine our last two terms and our middle term:
42-3%2Asqrt%286%29, which is as far as we can go.