Question

efectuati calculele
$\frac{6}{ \sqrt{3} }( \sqrt{6 \times \frac{3}{4} } - \sqrt{21 \times \frac{1}{3} }) + {( - \sqrt{3}) }^{2} \div { (\sqrt{0.(3)}) }^{ - 2}$
va rooggg!!!!
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Answer 1

$\frac{6}{ \sqrt{3} } ( \sqrt{6 \times \frac{3}{4} } - \sqrt{21 \times \frac{1}{3} } ) + ( - \sqrt{3} )^{2} \div ( \sqrt{0.(3)} )^{ - 2} = \\ \frac{6}{ \sqrt{3} } \times ( \sqrt{3 \times \frac{3}{2} } - \sqrt{7} ) + \sqrt{3 }^{2} \div ( \frac{3}{9} ) ^{ - 1} \\ \frac{6}{ \sqrt{3} } ( \sqrt{ \frac{9}{2} } - \sqrt{7} ) + 3 \div ( \frac{1}{3} ) ^{ - 1} \\ \frac{6 \sqrt{ \frac{9}{2} } - 6 \sqrt{7} }{ \sqrt{3} } + 3 \div 3 \\ \frac{6 \times \frac{3}{ \sqrt{2} } - 6 \sqrt{7} }{ \sqrt{3} } + 1 \\ \frac{ \frac{18}{ \sqrt{2} } - 6 \sqrt{7} }{ \sqrt{3} } + 1 \\ \frac{9 \sqrt{2} - 6 \sqrt{7} }{ \sqrt{3} } + 1 \\ \frac{(9 \sqrt{2} - 6 \sqrt{7}) \times \sqrt{3} }{3} + 1 \\ \frac{3(3 \sqrt{2} - 2 \sqrt{7} ) \times \sqrt{3} }{3} + 1 \\ (3 \sqrt{2} - 2 \sqrt{7} ) \times \sqrt{3} + 1 \\ 3 \sqrt{6} - 2 \sqrt{21} + 1$

Answer 2

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