SOLUTION: 9^ㅠ+√3 / 3^ㅠ-√3
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Question 204133: 9^ㅠ+√3 / 3^ㅠ-√3
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
(9^pi +sqrt3)/3^pi - sqrt3 = 996.77 / 29.812 = 33.435
.
the demoninator could be simplified(rationalized) by multiplying the
num and den by the conjugate(3^pi +sqrt3).
.
{(9^pi +sqrt3)(3^pi+sqrt3)} /{ (3^pi -sqrt3)(3^pi +sqrt3)}
.
{(9*3)^pi +9^pisqrt3+3^pi sqrt3 +3} / (9^pi -3) = 33.435
.
rev
.
{27^pi +9^pisqrt3 +3^pi sqrt3 +3} / ( (^pi -3)
.
(31388+1723+55+3)/992
.
33169/992
.
33.435
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