SOLUTION: Please help me figure out this problem... This is my last one in my home work and I can't get it...Please show me how to work this out, THANK YOU VERY MUCH Rationalize the denom

Algebra ->  Radicals -> SOLUTION: Please help me figure out this problem... This is my last one in my home work and I can't get it...Please show me how to work this out, THANK YOU VERY MUCH Rationalize the denom      Log On


   



Question 169760: Please help me figure out this problem... This is my last one in my home work and I can't get it...Please show me how to work this out, THANK YOU VERY MUCH
Rationalize the denominator:
sqrt3 - 4 sqrt2 / 2 sqrt3 + 5 sqrt2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalize the denominator:
(sqrt3 - 4 sqrt2) / (2 sqrt3 + 5 sqrt2)
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Multiply numerator and denominator by 2sqrt(3) - 5sqrt(2) to get:
=[(sqrt(3)-4sqrt(2))(2sqrt(3) - 5sqrt(2)] / [(2sqrt(3))^2 - (5sqrt(2))^2]
= [2*3 -8sqrt(6)-5sqrt(6) + 20*2] / [4*3 - 25*2]
= [46 - 13sqrt(6)] / [-38]
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Cheers,
Stan H.