Question

simplify
1/(3√2-2√3) ​

Answer 1

Step-by-step explanation:

$\frac{1}{3 \sqrt{2} - 2 \sqrt{3} } \\ = \frac{1}{3 \sqrt{2} - 2 \sqrt{3} } \times \frac{3 \sqrt{2 } + 2 \sqrt{3} }{3 \sqrt{2} + 2 \sqrt{3} } \\ = \frac{3 \sqrt{2} + 2 \sqrt{3} }{ {(3 \sqrt{2} )}^{2} - {(2 \sqrt{3)} }^{2} } \\ \frac{3 \sqrt{2} + 2 \sqrt{3} }{18 - 12} \\ = \frac{3 \sqrt{2} + 2 \sqrt{3} }{6} \\ =$