Question

Rationalize the denominator: √6-√5/√6+√5

Answer 1

Answer:

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$\frac{ \sqrt{6} - \sqrt{5} }{ \sqrt{6} + \sqrt{5} } \\ = > \frac{( \sqrt{6} - \sqrt{5} )( \sqrt{6} - \sqrt{5} )}{( \sqrt{6} + \sqrt{5} )( \sqrt{6} - \sqrt{5} } \\ = > \frac{ {( \sqrt{6} - \sqrt{5} )}^{2} }{6 - 5} \\ = > \frac{6 + 2 \sqrt{30} + 5 }{1} \\ = > 11 + 2 \sqrt{30}$

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