Math, asked by ScholarAsthaMishra, 1 year ago

Plz ans the given Q

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Answers

Answered by Iamanantmall
1
a=0
b=2
your question is solved above... check it
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Anonymous: soooo long...
Iamanantmall: but correct and this only a method to solve these types of questions
ScholarAsthaMishra: OK thanx
Iamanantmall: wlcm
Anonymous: i could solve in a few simple steps.
Answered by Divyaalia
7
 \frac{ \sqrt{7} + \sqrt{5} }{ \sqrt{7} - \sqrt{5} } - \frac{ \sqrt{7} - \sqrt{5} }{ \sqrt{7} + \sqrt{5} } = a + \sqrt{35} b \\ \\
 \huge \textbf{LHS}

 = \frac{ \sqrt{7} + \sqrt{5} }{ \sqrt{7} - \sqrt{5} } - \frac{ \sqrt{7} - \sqrt{5} }{ \sqrt{7} + \sqrt{5} } \\ \\ = \frac{ (\sqrt{7} + \sqrt{5})( \sqrt{7} + \sqrt{5}) }{( \sqrt{7} - \sqrt{5})( \sqrt{7} + \sqrt{5} )} - \frac{( \sqrt{7} - \sqrt{5})( \sqrt{7} - \sqrt{5} ) }{( \sqrt{7} + \sqrt{5} )( \sqrt{7} - \sqrt{5} )} \\ \\ = \frac{7 + \sqrt{35} + \sqrt{35} + 5 }{7 - 5} - \frac{7 - \sqrt{35} - \sqrt{35} + 5 }{7 - 5} \\ \\ = \frac{12 + 2 \sqrt{35} }{2} - \frac{12 - 2 \sqrt{35} }{2} \\ \\ = \frac{12 + 2 \sqrt{35} - 12 + 2 \sqrt{35} }{2} \\ \\ = \frac{ 4 \sqrt{35} }{2} \\ \\ = 2 \sqrt{35}\\ \\ \\ \\ \\ on \: comparing \: with \: a + b \sqrt{35} \\ \\ a = 0 \\ and \: b = 2
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