Question

simplify by rationalizing the denominator root 2 / 3 root 6 - root 5​

Answer 1

Answer:

$\frac{ \sqrt{2} }{3 \sqrt{6} - \sqrt{5} } \\ \frac{ \sqrt{2} }{3 \sqrt{6} - \sqrt{5} } \times \frac{3 \sqrt{6} + \sqrt{5} }{3 \sqrt{6} + \sqrt{5} } \\ \frac{3 \sqrt{12} + \sqrt{ 10 } }{ {(3 \sqrt{6} )}^{2} - { (\sqrt{5} )}^{2} } \\ \frac{6 \sqrt{3} + \sqrt{10} }{54 - 5} \\ \frac{6 \sqrt{3} + \sqrt{10} }{49}$

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