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CBSE Class 9 Answered

if a=7-4square root of 3 , find the value of square root of a+fraction numerator 1 over denominator square root of a end fraction
Asked by saasha.joshua | 22 Jul, 2018, 08:03: PM
answered-by-expert Expert Answer
begin mathsize 16px style square root of straight a plus fraction numerator 1 over denominator square root of straight a end fraction
Consider comma
square root of 7 minus 4 square root of 3 end root equals square root of 4 plus 3 minus 2 cross times 2 square root of 3 end root equals square root of open parentheses 2 minus square root of 3 close parentheses squared end root equals 2 minus square root of 3
Hence comma
square root of straight a plus fraction numerator 1 over denominator square root of straight a end fraction
equals 2 minus square root of 3 plus fraction numerator 1 over denominator 2 minus square root of 3 end fraction
equals 2 minus square root of 3 plus fraction numerator 1 over denominator 2 minus square root of 3 end fraction cross times fraction numerator 2 plus square root of 3 over denominator 2 plus square root of 3 end fraction
equals 2 minus square root of 3 plus fraction numerator 2 plus square root of 3 over denominator 4 minus 3 end fraction
equals 2 minus square root of 3 plus 2 plus square root of 3
equals 4 end style
Answered by Sneha shidid | 23 Jul, 2018, 09:58: AM
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