SOLUTION: Multiply: (8√[6] + 3√[2])(4√[6] – 5√[2]) Thanks!

Algebra ->  Radicals -> SOLUTION: Multiply: (8√[6] + 3√[2])(4√[6] – 5√[2]) Thanks!      Log On


   

Question 107292: Multiply:
(8√[6] + 3√[2])(4√[6] – 5√[2])
Thanks!
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%288sqrt%286%29+%2B+3sqrt%282%29%29%284sqrt%286%29+-+5sqrt%282%29%29++

= +8%2A4sqrt%286%29sqrt%286%29 - +8%2A5%28sqrt%286%29sqrt%282%29%29+%2B+3%2A4sqrt%282%29sqrt%286%29 – 3%2A5%28sqrt%282%29sqrt%282%29+%29

=32%2A6+-+40%2A+sqrt%286%29%2Asqrt%282%29+%2B+12%2A+sqrt%286%29%2Asqrt%282%29 – 15%2A2%29
= 192++-+28+%2A+sqrt%286%29%2Asqrt%282%29– 30 = 162+-+28+%28sqrt%286%29%2Asqrt%282%29%29
since sqrt%286%29+=+2.45 and sqrt%282%29+=+1.41, we will have:
162+-+28+%2A2.45%2A1.41
= 162+-+28%2A3.4545
= 162+-+96.726
= 65.274