Question

RATIONALISE THE DENOMINATOR​

Answer 1

$\huge\boxed{\underline{\bf { \red S \green O \pink L \blue U \orange T \purple I \red O \pink N \green{..}}}}$

$\longmapsto \sf \frac{4 \sqrt{3} + 5 \sqrt{2} }{ \sqrt{48} + \sqrt{18} }$

$\longmapsto \sf\frac{4 \sqrt{3} + 5 \sqrt{2} }{ \sqrt{48} + \sqrt{18} } \times\frac{ \sqrt{48} - \sqrt{18} }{ \sqrt{48} - \sqrt{18} }$

$\longmapsto \sf \frac{4 \sqrt{144} - 5 \sqrt{36} }{ {( \sqrt{48}) }^{2} - {( \sqrt{18}) }^{2} }$

$\longmapsto \sf \frac{4 \times 12 - 5 \times 6}{48 - 18}$

$\longmapsto \sf \frac{48 - 30}{30}$

$\longmapsto \sf \frac{18}{30}$

$\longmapsto \sf \frac{3}{5}$