If and , then find the value of x2 + y2.


(a + b) 2 = a2 + 2ab + b2


Also x = 1 / y or y = 1/x


Let a = x


b = y


(x + y) 2 = x2 + 2xy + y2


But we know y = 1/x








Here the denominators form the expansion as


(a + b) × (a – b) = (a2 – b2)


Here a = √3


b = √2


a2 = (√3)2


= 3


b2 = (√2)2


= 2



= 102 – 2


= 100-2


= 98


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