Question

relationalise the denominator 1/√7-√6​

Answer 1

$Given \: \frac{1}{(\sqrt{7} - \sqrt{6})}$

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

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

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

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

Therefore.,

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

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

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Answer 2

Answer:

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