Question

Rationalise the denominator of the following.

1/✓7 - ✓6​​

Answer 1

Answer:

please refer pic

hope it helps

Answer 2

Given -

$\frac{1}{ \sqrt{7} \: - \sqrt6}$

To,

Rationalise the denominator

Solution -

$\large \frac{1}{ \sqrt{7} - \sqrt{6} }$

$\large \frac{1}{ \sqrt{7} - \sqrt{6}} \times \frac{ \sqrt{7} + \sqrt{6} }{ \sqrt{7} + \sqrt{6} }$

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

( as ${(a+b)}{(a-b)}= {a}^{2}-{b}^{2}$ identity is used)

$\large \frac{ \sqrt{7} + \sqrt{6} }{7 - 6}$

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

$\large \sqrt{7} + \sqrt{6} \: ans$

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