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x equals fraction numerator square root of 3 plus square root of 2 over denominator square root of 3 minus square root of 2 end fraction space a n d space y equals fraction numerator square root of 3 minus square root of 2 over denominator square root of 3 plus square root of 2 end fraction space semicolon space f i n d space t h e space v a l u e space o f space left parenthesis x plus y right parenthesis squared
Asked by kishor.kp14 | 21 Jun, 2019, 01:53: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight x space equals space fraction numerator square root of 3 space plus space square root of 2 over denominator square root of 3 space minus space square root of 2 end fraction space and space straight y space equals space fraction numerator square root of 3 space minus space square root of 2 over denominator square root of 3 space plus space square root of 2 end fraction straight x space equals space fraction numerator square root of 3 space plus space square root of 2 over denominator square root of 3 space minus space square root of 2 end fraction cross times space space fraction numerator square root of 3 space plus space square root of 2 over denominator square root of 3 space plus space square root of 2 end fraction space space space equals space fraction numerator open parentheses square root of 3 space plus space square root of 2 close parentheses squared over denominator open parentheses square root of 3 close parentheses squared space minus space open parentheses square root of 2 close parentheses squared end fraction space space space equals fraction numerator 3 space plus space 2 space plus space 2 square root of 6 over denominator 3 space minus space 2 end fraction space space space space equals space 5 space plus space 2 square root of 6 space space.... space left parenthesis straight i right parenthesis straight y space equals space fraction numerator square root of 3 space minus space square root of 2 over denominator square root of 3 space plus space square root of 2 end fraction space cross times space fraction numerator square root of 3 space minus space square root of 2 over denominator square root of 3 space minus space square root of 2 end fraction space space space space equals space fraction numerator open parentheses square root of 3 space minus space square root of 2 close parentheses squared over denominator open parentheses square root of 3 close parentheses squared space minus space open parentheses square root of 2 close parentheses squared end fraction equals fraction numerator 3 space plus space 2 space minus space 2 square root of 6 over denominator 3 space minus space 2 end fraction space equals space 5 space minus space 2 square root of 6 space space.... space left parenthesis ii right parenthesis rightwards double arrow left parenthesis straight x space plus space straight y right parenthesis squared space equals space open parentheses space 5 space plus space 2 square root of 6 space plus space 5 space minus space 2 square root of 6 close parentheses squared space equals space 10 squared equals space 100 end style
Answered by Yasmeen Khan | 21 Jun, 2019, 05:02: PM

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