QEUSTION NO.6

Asked by mkp400 | 17th Dec, 2017, 12:45: PM

Expert Answer:

begin mathsize 16px style straight a over straight b plus straight b over straight a equals 2 space space space space.... left parenthesis straight i right parenthesis
Squarring comma space open parentheses fraction numerator begin display style straight a end style over denominator begin display style straight b end style end fraction plus fraction numerator begin display style straight b end style over denominator begin display style straight a end style end fraction close parentheses squared equals 2 squared
rightwards double arrow open parentheses straight a over straight b close parentheses squared plus open parentheses straight b over straight a close parentheses squared equals 2 space space space space space space space.... left parenthesis ii right parenthesis
Cubing space left parenthesis straight i right parenthesis comma space open parentheses fraction numerator begin display style straight a end style over denominator begin display style straight b end style end fraction plus fraction numerator begin display style straight b end style over denominator begin display style straight a end style end fraction close parentheses cubed equals 2 cubed
rightwards double arrow open parentheses fraction numerator begin display style straight a end style over denominator begin display style straight b end style end fraction close parentheses cubed plus open parentheses fraction numerator begin display style straight b end style over denominator begin display style straight a end style end fraction close parentheses cubed equals 2 space space space space space..... left parenthesis iii right parenthesis
Multiplying space left parenthesis ii right parenthesis space and space left parenthesis iii right parenthesis comma
open parentheses straight a over straight b close parentheses to the power of 5 plus open parentheses straight b over straight a close parentheses to the power of 5 equals 2 space space space space space space space space.... left parenthesis iv right parenthesis
Squaring comma space open parentheses fraction numerator begin display style straight a end style over denominator begin display style straight b end style end fraction close parentheses to the power of 10 plus open parentheses fraction numerator begin display style straight b end style over denominator begin display style straight a end style end fraction close parentheses to the power of 10 equals 2
Now comma space open square brackets open parentheses fraction numerator begin display style straight a end style over denominator begin display style straight b end style end fraction close parentheses to the power of 5 minus open parentheses fraction numerator begin display style straight b end style over denominator begin display style straight a end style end fraction close parentheses to the power of 5 close square brackets equals open parentheses fraction numerator begin display style straight a end style over denominator begin display style straight b end style end fraction close parentheses to the power of 10 plus open parentheses fraction numerator begin display style straight b end style over denominator begin display style straight a end style end fraction close parentheses to the power of 10 minus 2 equals 2 minus 2 equals 0
Thus comma
open parentheses fraction numerator begin display style straight a end style over denominator begin display style straight b end style end fraction close parentheses to the power of 10 minus open parentheses fraction numerator begin display style straight b end style over denominator begin display style straight a end style end fraction close parentheses to the power of 10 equals open square brackets open parentheses straight a over straight b close parentheses to the power of 5 close square brackets squared minus open square brackets open parentheses straight b over straight a close parentheses to the power of 5 close square brackets squared equals space open square brackets open parentheses fraction numerator begin display style straight a end style over denominator begin display style straight b end style end fraction close parentheses to the power of 5 minus open parentheses fraction numerator begin display style straight b end style over denominator begin display style straight a end style end fraction close parentheses to the power of 5 close square brackets open square brackets open parentheses fraction numerator begin display style straight a end style over denominator begin display style straight b end style end fraction close parentheses to the power of 5 plus open parentheses fraction numerator begin display style straight b end style over denominator begin display style straight a end style end fraction close parentheses to the power of 5 close square brackets equals 0 cross times 2 equals 0

Please space check space your space question comma space if space it space is space straight a over straight b minus straight b over straight a equals 2 comma space hen space the space answer space is space 551368.
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Answered by Rashmi Khot | 17th Dec, 2017, 08:58: PM