Question

$\frac{3}{2 \sqrt{5} - 3\sqrt{2} }$
pls solve this step by step , surds rationalise the denominator ​

Answer 1

Answer,

Solution;

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

$\frac{6 \sqrt{5} + 9 \sqrt{2} }{( {2 \sqrt{5} }^{2}) + ( {3 \sqrt{2} }^{2}) }$

$\frac{6 \sqrt{5} + 9 \sqrt{2} }{20 + 18}$

$\frac{6 \sqrt{5 + 9 \sqrt{2} } }{38}$