SOLUTION: 2sqrt6 - sqrt2= sqrt(a-bsqrt3)

Algebra ->  Linear-equations -> SOLUTION: 2sqrt6 - sqrt2= sqrt(a-bsqrt3)      Log On


   

Question 1117383: 2sqrt6 - sqrt2= sqrt(a-bsqrt3)
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Square both sides of the equation to find the values of a and b.

2sqrt%286%29+-+sqrt%282%29=+sqrt%28a-b%2Asqrt%283%29%29

%282sqrt%286%29+-+sqrt%282%29%29%5E2+=+%28sqrt%28a-b%2Asqrt%283%29%29%29%5E2

24-4sqrt%2812%29%2B2+=+a-b%2Asqrt%283%29

26-8sqrt%283%29+=+a-b%2Asqrt%283%29

a = 26; b = 8