Question

Rationalise the denominator:-
1)$7 \sqrt{3} - 5 \sqrt{2} / \sqrt{48} + \sqrt{18}$

Answer 1

$\frac{7 \sqrt{3} -5 \sqrt{2}}{ \sqrt{48}+ \sqrt{18} }$

$\frac{7 \sqrt{3} -5 \sqrt{2}}{ \sqrt{48}+ \sqrt{18} }$×$\frac{\sqrt{48}- \sqrt{18}}{\sqrt{48}- \sqrt{18}}$

$\frac{7 \sqrt{144}-7 \sqrt{54}-5 \sqrt{96}+5 \sqrt{36} }{30}$

$\frac{114-7 \sqrt{54}-5 \sqrt{96}}{30}$