( 2+ sqrt ( 3) ) ^ ( 5) + ( 1)/( ( 2+ sqrt ( 3) ) ^ ( 5) )
please give the answer step by step.....
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= (2+√3)^2 ×(2+√3)^3 + 1/{(2+√3)^2 ×(2+√3)^3}
= (7+4√3)(8+3√3 +12√3 + 12) + 1/{(7+4√3)(20+15√3)}
= (140+105√3 + 80√3 +160) + 1/(300 + 185√3)
={(300+185√3)^2 +1} / (300+185√3)
={90000+102675+111000√3} / (300 + 185√3)
={(192675+111000√3)×(300-185√3)} / (90000 - 102675)
= {57802500 - 35644875√3 + 33300000 -61605000} / (-12675)
= solve and get answer
I hope this will help you...
= (7+4√3)(8+3√3 +12√3 + 12) + 1/{(7+4√3)(20+15√3)}
= (140+105√3 + 80√3 +160) + 1/(300 + 185√3)
={(300+185√3)^2 +1} / (300+185√3)
={90000+102675+111000√3} / (300 + 185√3)
={(192675+111000√3)×(300-185√3)} / (90000 - 102675)
= {57802500 - 35644875√3 + 33300000 -61605000} / (-12675)
= solve and get answer
I hope this will help you...
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Answer:
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