Question

Rationalize the denominator of 2-root3/3-root2

Answer 1

6+2root2-3root3-root6/7

Answer 2

$\frac{2 - \sqrt{3} }{3 - \sqrt{2} } = \frac{2 - \sqrt{3} }{3 - \sqrt{2} } \times \frac{3 + \sqrt{2} }{3 + \sqrt{2} } = \frac{6 + 2 \sqrt{2} - 3 \sqrt{3} + \sqrt{6} }{7}$