Final answer to the problem
$\frac{\sqrt{a+b}\left(\sqrt{a+b}+\sqrt{a-b}\right)}{a+b-a+b}$
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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 ((a+b)^(1/2))/((a+b)^(1/2)-(a-b)^(1/2)). Multiply and divide the fraction \frac{\sqrt{a+b}}{\sqrt{a+b}-\sqrt{a-b}} by the conjugate of it's denominator \sqrt{a+b}-\sqrt{a-b}. Multiplying fractions \frac{\sqrt{a+b}}{\sqrt{a+b}-\sqrt{a-b}} \times \frac{\sqrt{a+b}+\sqrt{a-b}}{\sqrt{a+b}+\sqrt{a-b}}. Solve the product of difference of squares \left(\sqrt{a+b}-\sqrt{a-b}\right)\left(\sqrt{a+b}+\sqrt{a-b}\right).
Final answer to the problem
$\frac{\sqrt{a+b}\left(\sqrt{a+b}+\sqrt{a-b}\right)}{a+b-a+b}$
