Question

rezultatul calcului
$( - \frac{3}{4} ) \div ( - \sqrt{ \frac{27}{8} } ) \times 6 \sqrt{3}$
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Answer 1

$( - \frac{3}{4} ) \div ( - \sqrt{ \frac{27}{8} } ) \times 6 \sqrt{3} = \frac{3}{2} \times \frac{1}{ \sqrt{ \frac{27}{8} } } \times 3 \sqrt{3} = \frac{3}{2} \times \frac{1}{ \frac{ \sqrt{27} }{ \sqrt{8} } } \times 3 \sqrt{3} = \frac{3}{2} \times \frac{ \sqrt{8} }{ \sqrt{27} } \times 3 \sqrt{3} = \frac{3}{2} \times \frac{ \sqrt{8} }{ \sqrt{9} } \times 3 = \frac{3}{2} \times \frac{ \sqrt{8} }{3} \times 3 = \frac{1}{2} \times \sqrt{8} \times 3 = \frac{1}{2} \times 2 \sqrt{2} \times 3 = \sqrt{2} \times 3 = 3 \sqrt{2}$