If a=7-4√3,find the value of √a+1/√a

Asked by charikanitin0513 | 23rd Feb, 2020, 04:50: PM

Expert Answer:

straight a equals 7 minus 4 square root of 3
1 over straight a equals fraction numerator 1 over denominator 7 minus 4 square root of 3 end fraction cross times fraction numerator 7 plus 4 square root of 3 over denominator 7 plus 4 square root of 3 end fraction
1 over straight a equals 7 plus 4 square root of 3
open parentheses square root of straight a plus fraction numerator 1 over denominator square root of straight a end fraction close parentheses squared equals straight a plus 1 over straight a plus 2
open parentheses square root of straight a plus fraction numerator 1 over denominator square root of straight a end fraction close parentheses squared equals 16
square root of straight a plus fraction numerator 1 over denominator square root of straight a end fraction equals 4

Answered by Arun | 23rd Feb, 2020, 09:56: PM

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