Question

Rationalize the denominator and simplify.

Answer 1

Answer:

$\frac{3 \sqrt{2} - 2 \sqrt{3} }{3 \sqrt{2} + 2 \sqrt{3} } \times \frac{3 \sqrt{2} - 2 \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \\ \\ = \frac{18 + 12 - 12 \sqrt{6} }{18 - 12} \\ \\ = \frac{30 - 12 \sqrt{6} }{6} \\ \\ = 5 - 2 \sqrt{6}$