Question

Вычислите. Ответ запишите в виде √: ​

Answer 1

$\frac{ \sqrt{7} }{2} \times \frac{ \sqrt{3} }{ \sqrt{21} } \times ( \frac{8}{ \sqrt{6} } - 3 \sqrt{6} ) = - \frac{5 \sqrt{6} }{3} \\ \frac{ \sqrt{7} }{2} \times \frac{ \sqrt{3} }{ \sqrt{21} } = \sqrt{ \frac{7 \times 3}{4 \times 21} } = \sqrt{ \frac{1 \times3}{4 \times 3} } = \sqrt{ \frac{1}{4} } = \frac{1}{2} \\ \frac{8}{ \sqrt{6} } - 3 \sqrt{6} = \frac{8 \sqrt{6} }{ \sqrt{6} \times \sqrt{6} } - 3 \sqrt{6} = \frac{8 \sqrt{6} }{6} - 3 \sqrt{6} = \frac{4 \sqrt{6} }{3} - 3 \sqrt{6} = \frac{4 \sqrt{6} - 9 \sqrt{6} }{3} = - \frac{5 \sqrt{6} }{3} \\ \frac{1}{2} \times ( - \frac{5 \sqrt{6} }{3} ) = - \frac{5 \sqrt{6} }{6}$