How do you rationalize the denominator and simplify $\frac{14}{\sqrt{7} - \sqrt{5}}$ $14/ (sqrt7-sqrt5)$ ?

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Answer 1 · 2016-03-27T07:16:41

$7 \sqrt{7} + 7 \sqrt{5}$ $7sqrt7 + 7sqrt5$

You can multiply $\sqrt{7} - \sqrt{5}$ $sqrt7 - sqrt5$ with $\sqrt{7} + \sqrt{5}$ $sqrt7 + sqrt5$ which would result in 2. So you would have;

$\frac{14 \times (\sqrt{7} + \sqrt{5})}{2}$ $(14 × (sqrt7 + sqrt5)) / 2$

How do you rationalize the denominator and simplify 14/ (sqrt7-sqrt5)14√7−√514/ (sqrt7-sqrt5)?