SOLUTION: (3 + sqrt24) / (6 sqrt8) A. (3 sqrt2 + 4 sqrt3) / 24 B. (1 + sqrt3) / 2 C. (3 + 8 sqrt3) / 6 D. -15 / (36 sqrt2 - 48 sqrt3) e. none of these

Algebra ->  Equations -> SOLUTION: (3 + sqrt24) / (6 sqrt8) A. (3 sqrt2 + 4 sqrt3) / 24 B. (1 + sqrt3) / 2 C. (3 + 8 sqrt3) / 6 D. -15 / (36 sqrt2 - 48 sqrt3) e. none of these      Log On


   

Question 936095: (3 + sqrt24) / (6 sqrt8)
A. (3 sqrt2 + 4 sqrt3) / 24
B. (1 + sqrt3) / 2
C. (3 + 8 sqrt3) / 6
D. -15 / (36 sqrt2 - 48 sqrt3)
e. none of these
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2Bsqrt%2824%29%29%2F%286%2Asqrt%288%29%29


%283%2Bsqrt%284%2A6%29%29%2F%286%2Asqrt%284%2A2%29%29


%283%2Bsqrt%284%29%2Asqrt%286%29%29%2F%286%2Asqrt%284%29%2Asqrt%282%29%29


%283%2B2%2Asqrt%286%29%29%2F%286%2A2%2Asqrt%282%29%29


%283%2B2%2Asqrt%286%29%29%2F%2812%2Asqrt%282%29%29


Multiply top and bottom by sqrt%282%29 to rationalize the denominator.


%283%2Asqrt%282%29%2B2%2Asqrt%286%29%2Asqrt%282%29%29%2F%2812%2Asqrt%282%29%2Asqrt%282%29%29 Distribute


%283%2Asqrt%282%29%2B2%2Asqrt%286%2A2%29%29%2F%2812%2Asqrt%282%2A2%29%29


%283%2Asqrt%282%29%2B2%2Asqrt%2812%29%29%2F%2812%2Asqrt%284%29%29


%283%2Asqrt%282%29%2B2%2Asqrt%284%2A3%29%29%2F%2812%2Asqrt%284%29%29


%283%2Asqrt%282%29%2B2%2Asqrt%284%29%2Asqrt%283%29%29%2F%2812%2Asqrt%284%29%29


%283%2Asqrt%282%29%2B2%2A2%2Asqrt%283%29%29%2F%2812%2A2%29


%283%2Asqrt%282%29%2B4%2Asqrt%283%29%29%2F%2824%29


So,


Which means the answer is Choice A
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