Question
Tue April 21, 2015 By: Nisha_vini29

if a=6-sq root 35,then find a2+1/a2

Expert Reply
Prasenjit Paul
Wed April 22, 2015
a equals 6 minus square root of 35 1 over a equals fraction numerator open parentheses 6 plus square root of 35 close parentheses over denominator open parentheses 6 minus square root of 35 close parentheses open parentheses 6 plus square root of 35 close parentheses end fraction therefore 1 over a equals fraction numerator open parentheses 6 plus square root of 35 close parentheses over denominator 6 squared minus open parentheses square root of 35 close parentheses squared end fraction therefore 1 over a equals fraction numerator open parentheses 6 plus square root of 35 close parentheses over denominator 36 minus 35 end fraction therefore 1 over a equals open parentheses 6 plus square root of 35 close parentheses a squared plus 1 over a squared equals open parentheses 6 minus square root of 35 close parentheses squared plus open parentheses 6 plus square root of 35 close parentheses squared equals 36 plus 35 minus 12 square root of 35 plus 36 plus 35 plus 12 square root of 35 equals 71 plus 71 equals 142
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