Question

rationalize=13√2/√18-√5​

Answer 1

$\frac{13 \sqrt{2} }{ \sqrt{18} - \sqrt{5} } \\ \\ \\ \frac{13 \sqrt{2}(\sqrt{18} + \sqrt{5} ) }{(\sqrt{18} - \sqrt{5} )(\sqrt{18} + \sqrt{5} )} \\ \\ \frac{13 \sqrt{36} + 13 \sqrt{10} }{ {( \sqrt{18} )}^{2} - {( \sqrt{5} )}^{2} } \\ \\ \frac{13 \sqrt{36} + 13 \sqrt{10} }{18 - 5} = \frac{13 \sqrt{36} + 13 \sqrt{10} }{13} \\ \\ \frac{13( \sqrt{36} + \sqrt{10} )}{13} = \sqrt{36} + \sqrt{10} = 6 + \sqrt{10}$