Answer
$10\sqrt 5+15\sqrt2$
Work Step by Step
Simplify. $\dfrac{10}{2\sqrt5-3\sqrt2}$
Now, $\dfrac{10}{2\sqrt5-3\sqrt2}=\dfrac{10(2\sqrt5+3\sqrt2)}{(2\sqrt5+3\sqrt2)(2\sqrt5-3\sqrt2)}$
or, $=\dfrac{10(2\sqrt5)+10(3\sqrt2)}{(2\sqrt5)^2-(3\sqrt2)^2}$
or, $=\dfrac{10(2\sqrt{5}+3\sqrt{2})}{2}$
or, $=10\sqrt 5+15\sqrt2$
