Question

Число 3·√(2/3) −5√(3/2)+ 6√6 равно
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Answer 1

$displaystyle 3sqrt{frac{2}{3}}-5sqrt{frac{3}{2}}+6sqrt{6}=frac{3sqrt{2}}{sqrt{3}}-frac{5sqrt{3}}{sqrt{2}}+6sqrt{6}=frac{3*2-5*3}{sqrt{3}*sqrt{2}}+6sqrt{6}=\\\=frac{6-15}{sqrt{6}}+6sqrt{6}=frac{12sqrt{6}}{2}-frac{3sqrt{6}}{2}=frac{9sqrt{6}}{2};$