Hi Shivani, Using x^2 + y^2 = 5 and xy = 2, we can safely say that x^2 + y^2 + 2xy = 9, or, (x+y)^2 = 9, Using the result (x+y)^2 = 9, it can be deduced that (x+y) would be either +3 or -3. Any additional information on the nature of x and y would have helped in arriving at the exact value of (x+y)....