Question

Rationalising the denominator

Answer 1

plz refer the attachment

Answer 2

Question:-

Rationalise the denominator.

Solution:-

$\sf \dfrac{3\sqrt{2}}{5\sqrt{3}-3\sqrt{2}} \times \dfrac{5\sqrt{3}+ 3\sqrt{2}}{5\sqrt{3} + 3\sqrt{2}}$

$\sf \dfrac{3\sqrt{2}(5\sqrt{3} + 3\sqrt{2})}{(5\sqrt{3})^2 - (3\sqrt{2})^2}$

$\sf \dfrac{3\sqrt{2} (5\sqrt{3} + 3\sqrt{2})}{75-18}$

$\sf \dfrac{\not{3}\sqrt{2} (5\sqrt{3} + 3\sqrt{2})}{\not{57}}$

$\sf \dfrac{5\sqrt{6} + 6}{19}$