Question

Rationalize the denominator of the following:

$\frac{1}{( \sqrt{7} - \sqrt{6} }$
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Answer 1

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Answer 2

Step-by-step explanation:

$\frac{1}{\sqrt{7} - \sqrt{6}} = \frac{1 (\sqrt{7} + \sqrt{6})}{(\sqrt{7} - \sqrt{6}) (\sqrt{7} + \sqrt{6})}$

$= \frac{\sqrt{7} + \sqrt{6}}{(\sqrt{7})^{2} - (\sqrt{6})^{2}}$

$= \frac{\sqrt{7} + \sqrt{6}}{1}$

$= \sqrt{7} + \sqrt{6}$