Question

Rezolvati va rog . Multumesc !

Answer 1

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Answer 2

$\displaystyle \left( \frac{2}{ \sqrt{2} } - \frac{3}{ \sqrt{3} } \right) \cdot \sqrt{6} + \left( \frac{3}{ \sqrt{18} } - \frac{10}{ \sqrt{75} } \right)\left(- \sqrt{6} \right)= \\ \\ = \frac{2 \sqrt{6} }{ \sqrt{2} } - \frac{3 \sqrt{6} }{ \sqrt{3} } - \frac{ 3\sqrt{6} }{ \sqrt{18} } + \frac{10 \sqrt{6} }{ \sqrt{75} } =2 \sqrt{3} -3 \sqrt{2} - \frac{3}{ \sqrt{3} } + \frac{10 \sqrt{6} }{5 \sqrt{3} } =$
$\displaystyle =2 \sqrt{3} -3 \sqrt{2} - \frac{3 \sqrt{3} }{3} +2 \sqrt{2} =2 \sqrt{3} -3 \sqrt{2} - \sqrt{3} +2 \sqrt{2} = \\ \\ =\boxed{ \sqrt{3} - \sqrt{2} }$