Question

Помогите вычислить выражение 3 номер

Answer 1

$\displaystyle\tt{} \ \ \ \bigg(3\cdot\sqrt{ \frac{2}{3}}-\sqrt{24} +\sqrt{6}\bigg)\cdot \bigg(2\cdot\sqrt{ \frac{2}{3}}+3\cdot\sqrt{ \frac{3}{2}}\bigg)=\\\\\\=\bigg(\sqrt{ \frac{18}{3}}-2\sqrt{6} +\sqrt{6}\bigg)\cdot \bigg(2\sqrt{ \frac{2}{3}}+3\sqrt{ \frac{3}{2}}\bigg)=\\\\\\=\bigg(\sqrt{6}-\sqrt{6}\bigg)\cdot \bigg(2\sqrt{ \frac{2}{3}}+3\sqrt{ \frac{3}{2}}\bigg)=0\cdot \bigg(2\sqrt{ \frac{2}{3}}+3\sqrt{ \frac{3}{2}}\bigg)=0$