Final answer to the problem
$\frac{\sqrt{x+y}\left(\sqrt{x-y}+\sqrt{x+y}\right)}{x-y-x-y}$
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Step-by-step Solution
Learn how to solve factor by difference of squares problems step by step online. Rationalize and simplify the expression ((x+y)^(1/2))/((x-y)^(1/2)-(x+y)^(1/2)). Multiply and divide the fraction \frac{\sqrt{x+y}}{\sqrt{x-y}-\sqrt{x+y}} by the conjugate of it's denominator \sqrt{x-y}-\sqrt{x+y}. Multiplying fractions \frac{\sqrt{x+y}}{\sqrt{x-y}-\sqrt{x+y}} \times \frac{\sqrt{x-y}+\sqrt{x+y}}{\sqrt{x-y}+\sqrt{x+y}}. Solve the product of difference of squares \left(\sqrt{x-y}-\sqrt{x+y}\right)\left(\sqrt{x-y}+\sqrt{x+y}\right).
Final answer to the problem
$\frac{\sqrt{x+y}\left(\sqrt{x-y}+\sqrt{x+y}\right)}{x-y-x-y}$
