Question

Rationalize the denominerer 10upon
3√16 - √2​

Answer 1

Answer:

$\frac{10}{3 \sqrt{6} - \sqrt{2} } = \frac{10}{3 \sqrt{6} - \sqrt{2} } \times \frac{3 \sqrt{6} + \sqrt{2} }{3 \sqrt{6} + \sqrt{2} } = \\ \frac{10(3 \sqrt{6} + \sqrt{2} ) }{ {(3 \sqrt{6}) }^{2} - {( \sqrt{2}) }^{2} } = \\ \frac{10(3 \sqrt{6} + \sqrt{2} ) }{54 - 2} = \\ \frac{5(3 \sqrt{6} + \sqrt{2}) }{26} \: ans.$