SOLUTION: How do you solve or simlify √2+√6 / √8+√6

Algebra ->  Radicals -> SOLUTION: How do you solve or simlify √2+√6 / √8+√6       Log On


   

Question 80357: How do you solve or simlify √2+√6 / √8+√6

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(√2+√6) / (√8+√6)
Multiply numeratorand denominator by (sqrt8-sqrt6) to get:
[(sqrt2+sqrt6)(sqrt8-sqrt6)]/[2]
=[4-2sqrt3+4sqrt3-6]/2
=[-2+2sqrt3]/2
=[-1+sqrt3]
==================
Cheers,
Stan H.