Question

Express 1/ root6 - root5 with rational denominator?

Answer 1

= 1 / √6 - √5
= 1 / √6 - √5 × √6 + √5 / √6 + √5
=  √6 + √5 / (√6 )² - ( √5 )²
=  √6 + √5 / 6 - 5
= √6  + √5

Answer 2

Answer

$\sqrt{6 + \sqrt{5} }$

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