Question

please answer the questions with explaination​

Answer 1

$\frac{1}{3 \sqrt{5} + 2 \sqrt{2} } \\ \frac{1}{3 \sqrt{5} + 2 \sqrt{2} } \times \frac{3 \sqrt{5} - 2 \sqrt{2} }{3 \sqrt{5 - 2 \sqrt{2} } } \\ \frac{3 \sqrt{5} - 2 \sqrt{2} }{(3 \sqrt{5) ^{2} } - (2 \sqrt{2) {}^{2} } } \\ \frac{3 \sqrt{5} - 2 \sqrt{2} }{45 - 8} \\ \frac{3 \sqrt{5} - 2 \sqrt{2} }{37}$