Question

If a = 2 +√6, find 1/a

Answer 1

Answer:

1/a = (2-√6)/-2

Step-by-step explanation:

$a = 2 + \sqrt{6} \\ to \: find \: \frac{1}{a} = \\ \frac{1}{2 + \sqrt{6} } \\ = \frac{1(2 - \sqrt{6)} }{(2 + \sqrt{6})(2 - \sqrt{6})} \\ = \frac{2 - \sqrt{6} }{( {2)}^{2} - { (\sqrt{6} )}^{2} } \\ = \frac{2 - \sqrt{6} }{4 - 6} \\ = \frac{2 - \sqrt{6} }{ - 2}$

Hope this may be ur answer