Question

please give me the answer​

Answer 1

[tex]\mathfrak{\huge{Answer:-}} \\ \bold{ \frac{1}{5 - 3 \sqrt{2} } } \\ = \frac{1}{5 - 3 \sqrt{2} } \times \frac{5 + 3 \sqrt{2} }{5 + 3 \sqrt{2} } \\ = \frac{1(5 + 3 \sqrt{2}) }{(5 - 3 \sqrt{2})(5 + 3 \sqrt{2} )} \\ = \frac{5 + 3 \sqrt{2} }{ {(5)}^{2} - {(3 \sqrt{2} )}^{2} } \\ = \frac{5 + 3 \sqrt{2} }{25 - 18} \\ = \frac{5 + 3 \sqrt{2} }{7} \\ \boxed{\boxed{\large{\bold{ \frac{1}{5 - 3 \sqrt{2} } = \frac{5 + 3 \sqrt{2} }{7} }}}}[/tex]