Question

Find

5− √6 ----------

5+ √6

= − √6​

Answer 1

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$\frac{5 - \sqrt{6} }{5 + \sqrt{6} } = \frac{(5 - \sqrt{6} )(5 - \sqrt{6} )}{(5 + \sqrt{6})(5 - \sqrt{6} )}$

$= \frac{25 - 10 \sqrt{6} + 6 }{25 - 6}$

$= \frac{31 - 10 \sqrt{6} }{19}$

We can see that

$a = \frac{31}{19}$

$b = \frac{10}{19}$