Question

3 root 5 + 2 by 3 root 5 minus 2

Answer 1

$\frac{3 \sqrt{5} + 2 }{3 \sqrt{5} - 2 } \times \frac{3 \sqrt{5} + 2 }{3 \sqrt{5} + 2 } \\ \\ = \frac{ {(3 \sqrt{5} + 2)}^{2} }{ { {(3 \sqrt{5} )}^{2} - {(2)}^{2} }^{} } \\ \\ = \frac{45 + 4 + 12 \sqrt{5} }{45 - 4} \\ \\ = \frac{49 + 12 \sqrt{5} }{41}$