Question

Rationales the denominator and simplify:
$\frac{1+\sqrt{2}}{3-2\sqrt{2}}$

Answer 1

$\frac{1+\sqrt{2}}{3-2\sqrt{2}}\ast \frac{3+2\sqrt{2}}{3+2\sqrt{2}}=\frac{(1+\sqrt{2})(3+2\sqrt{2})}{9-8}=(1+\sqrt{2})(3+2\sqrt{2})=7+5\sqrt{2}$