Question 61

If x and y are positive numbers, the largest of the following is

Since 'x' and 'y' are positive integers. Let x = y = 1

x + y = 1 +Β 1 = 2

$$\sqrt{3xy} = \sqrt{3 * 1 * 1} = \sqrt{3} = 1.732$$

$$\frac{x^2 + y^2}{x + y} = \frac{1^2 + 1^2}{1 +Β 1} = 1$$

$$\frac{x^4 +Β x^2y^2 + y^4}{x^3 + y^3} =Β \frac{1^4 + 1^2 *Β 1^2 + 1^4}{1^3 + 1^3} = 1.5$$

Hence, x + y is largest.Β 

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