Question

please give me answer fastly it is very urgent​

Answer 1

Answer:

$6. \frac{ \sqrt{6} }{ \sqrt{2} + \sqrt{3} } + \frac{3 \sqrt{2} }{ \sqrt{6} + \sqrt{3} } - \frac{4 \sqrt{3} }{ \sqrt{6} + \sqrt{2} }$

$= \frac{ \sqrt{6} }{ \sqrt{5} } + \frac{3 \sqrt{2} }{ \sqrt{9} } - \frac{4 \sqrt{3} }{ \sqrt{8} }$

$= \frac{ \sqrt{6} }{ \sqrt{5} } + \frac{ 3 \sqrt{2} }{3} - \frac{4 \sqrt{3} }{2}$

$= \frac{ 3 \sqrt{6} }{3 \sqrt{10} } - \frac{4 \sqrt{3} }{2}$

$= \frac{6 \sqrt{6} }{12 \sqrt{30} }$

$= \frac{3}{6 \sqrt{5} }$

$= 2 \sqrt{5}$