Question

Rationalize the denominator​

Answer 1

$\frac{5 + \sqrt{2} }{3 - \sqrt{2} } \\ \\ = \frac{5 + \sqrt{2} }{3 - \sqrt{2} } \times \frac{3 + \sqrt{2} }{3 + \sqrt{2} } \\ \\ = \frac{15 + 5 \sqrt{2} + 3 \sqrt{2} + 2}{9 - 2} \\ \\ = \frac{17 + 8 \sqrt{5} }{7}$