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

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) (Show Source): You can put this solution on YOUR website!
Rationalize the denominator:
(sqrt3 - 4 sqrt2) / (2 sqrt3 + 5 sqrt2)
---------------------
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]
====================================
Cheers,
Stan H.

RELATED QUESTIONS
Please can you help me with this equation, I have tried but can't figure it out. The... (answered by fners)

I cant figure out how to solve this problem my teacher isnt much help please show me how... (answered by solver91311,erika514)

my question is how do you solve for the variable in this problem. 3.7b+7=8.1b-19.4... (answered by Fombitz)

I have to use the quadratic formula to solve this equation. I have successfully completed (answered by jim_thompson5910)

My daughter has this problem for school. I am trying to help but it has been awhile for... (answered by solver91311)

Please help... My answer is suppose to be -3 sqrt 60/10 AND I am having problems coming (answered by stanbon)

Can you please help me with this simplification problem? I can't figure out how to get it (answered by solver91311,eschwartz)

the level of thorium in a sample decreases by a factor of one-half every 2 million years. (answered by ankor@dixie-net.com)

I need help trying to solve this equation. If you show me how to work it I can figure the (answered by Fombitz)