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CBSE Class 9 Answered

SOLVE THIS : if a =2 + square root of 3  then find square root of a + 1 by square root of a
 
 
Asked by meghanavincent25 | 14 Jun, 2017, 06:32: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight a equals 2 plus square root of 3
rightwards double arrow square root of straight a equals open parentheses 2 plus square root of 3 close parentheses squared
Now comma
fraction numerator square root of straight a plus 1 over denominator square root of straight a end fraction equals fraction numerator square root of straight a plus 1 over denominator square root of straight a end fraction cross times fraction numerator square root of straight a over denominator square root of straight a end fraction
equals fraction numerator straight a plus square root of straight a over denominator straight a end fraction
equals fraction numerator 2 plus square root of 3 plus open parentheses 2 plus square root of 3 close parentheses squared over denominator 2 plus square root of 3 end fraction
equals fraction numerator 2 plus square root of 3 plus open parentheses 2 plus square root of 3 close parentheses squared over denominator 2 plus square root of 3 end fraction
equals fraction numerator 2 plus square root of 3 plus 4 plus 3 plus 4 square root of 3 over denominator 2 plus square root of 3 end fraction
equals fraction numerator 9 plus 5 square root of 3 over denominator 2 plus square root of 3 end fraction
equals fraction numerator 9 plus 5 square root of 3 over denominator 2 plus square root of 3 end fraction cross times fraction numerator 2 minus square root of 3 over denominator 2 minus square root of 3 end fraction
equals fraction numerator 18 minus 9 square root of 3 plus 10 square root of 3 minus 15 over denominator 4 minus 3 end fraction
equals fraction numerator 3 plus square root of 3 over denominator 1 end fraction
equals 3 plus square root of 3 end style
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