Question

Rationalize the denominaton
$2 \div \sqrt{37} - 6$

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Answer 1

$\frac{2}{ \sqrt{37 } - 6 } = \frac{2}{ \sqrt{37} - 6 } \times \frac{ \sqrt{37} + 6}{ \sqrt{37} + 6} \\ = \frac{2( \sqrt{37} + 6) }{ {( \sqrt{37} )}^{2} - {(6)}^{2} } = \frac{2( \sqrt{37} - 6)}{37 - 36} \\ = \frac{ \sqrt[2]{37} - 12 }{1}$