Question

Solve this one.....

Answer 1

$= \frac{4 \sqrt{3} - 5 \sqrt{2} }{ \sqrt{48} - \sqrt{18} } \\ = \frac{4 \sqrt{3} - 5 \sqrt{2} }{ \sqrt{48} - \sqrt{18} } \times \frac{ \sqrt{48} + \sqrt{18} }{ \sqrt{48} + \sqrt{18} } \\ = \frac{4 \sqrt{3} - 5 \sqrt{2}( \sqrt{48} + \sqrt{18} ) }{ ({ \sqrt{48} })^{2} - ( { \sqrt{18} })^{2} } \\ = \frac{ 4 \sqrt{3} - 5 \sqrt{2} (4 \sqrt{3} + 3 \sqrt{2})}{30} \\ = \frac{48 + 12 \sqrt{6} - 20 \sqrt{6} - 30 }{30} \\ = \frac{18 - 8 \sqrt{6} }{30} \\ = \frac{2(9 - 4 \sqrt{6} )}{30} \\ = \frac{9 - 4 \sqrt{6} }{15}$