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 | 21st Jun, 2019, 01:53: PM

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 | 21st Jun, 2019, 05:02: PM