5+√11
______    =x+y√11
 
5-√11

Asked by himanshu | 20th Sep, 2015, 09:34: PM

Expert Answer:

C o n s i d e r space t h e space g i v e n space e q u a t i o n colon fraction numerator 5 plus square root of 11 over denominator 5 minus square root of 11 end fraction equals x plus y square root of 11 rightwards double arrow fraction numerator 5 plus square root of 11 over denominator 5 minus square root of 11 end fraction cross times fraction numerator 5 plus square root of 11 over denominator 5 plus square root of 11 end fraction equals x plus y square root of 11 rightwards double arrow fraction numerator open parentheses 5 plus square root of 11 close parentheses squared over denominator 5 squared minus open parentheses square root of 11 close parentheses squared end fraction equals x plus y square root of 11 rightwards double arrow fraction numerator 5 squared plus open parentheses square root of 11 close parentheses squared plus 2 cross times 5 cross times square root of 11 over denominator 25 minus 11 end fraction equals x plus y square root of 11 rightwards double arrow fraction numerator 25 plus 11 plus 10 square root of 11 over denominator 25 minus 11 end fraction equals x plus y square root of 11 rightwards double arrow fraction numerator 36 plus 10 square root of 11 over denominator 14 end fraction equals x plus y square root of 11 rightwards double arrow fraction numerator 18 plus 5 square root of 11 over denominator 17 end fraction equals x plus y square root of 11 C o m p a r i n g space t h e space c o e f f i c i e n t s comma space w e space h a v e comma rightwards double arrow x equals 18 over 17 space a n d space y equals 5 over 17

Answered by Vimala Ramamurthy | 20th Sep, 2015, 10:33: PM