Question

solve the following sum ​

Answer 1

$\sf given \: \: \mathfrak{fraction} \: \: : \: \frac{3}{2 \sqrt{5} - 3 \sqrt{2} }$

$\mathfrak \orange{to \: \: \: simplif} \sf \orange y \: \: \: \: \: it$

then,

$\red➱ \: \: \frac{3}{2 \sqrt{5} - 3 \sqrt{2} } \times \frac{2 \sqrt{5} + 3 \sqrt{2} }{2 \sqrt{5} + 3 \sqrt{2} }$

$\red➱ \: \: \frac{3(2 \sqrt{5} + 3 \sqrt{2} )}{ {(2 \sqrt{5}) }^{2} - {(3 \sqrt{2} )}^{2} }$

$\red➱ \: \: \frac{6 \sqrt{5} + 9 \sqrt{2} }{20 - 18}$

$\red➱ \: \: \frac{6 \sqrt{5} + 9 \sqrt{2} }{2}$

$\red➱ \: \: 3 \sqrt{5} + ( \frac{9 \sqrt{2} }{2} )$