Final answer to the problem
$\sqrt{5}+\sqrt{3}$
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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 2/(5^(1/2)-*3^(1/2)). Multiply and divide the fraction \frac{2}{\sqrt{5}-\sqrt{3}} by the conjugate of it's denominator \sqrt{5}-\sqrt{3}. Multiplying fractions \frac{2}{\sqrt{5}-\sqrt{3}} \times \frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}+\sqrt{3}}. Solve the product of difference of squares \left(\sqrt{5}-\sqrt{3}\right)\left(\sqrt{5}+\sqrt{3}\right). Add the values 5 and -3.
Final answer to the problem
$\sqrt{5}+\sqrt{3}$
Exact Numeric Answer
$3.968119$
