Explicație pas cu pas:
[tex]( \frac{7}{6 \sqrt{2} } - \frac{5}{3 \sqrt{2} } + \frac{3}{4 \sqrt{2} } ) \div \frac{3}{ \sqrt{288} } = \\ \frac{1}{ \sqrt{2} } ( \frac{7}{6} - \frac{5}{3} + \frac{3}{4} ) \div \frac{3}{ \sqrt{288} } = \\ \frac{1}{ \sqrt{2} } ( \frac{14 - 20 + 12}{12}) \div \frac{3}{ \sqrt{288} } = \\ \frac{1}{2 \sqrt{2} } \div \frac{3}{ \sqrt{288} } = \frac{1}{2 \sqrt{2} } \times \frac{ \sqrt{288} }{3} = \\ \frac{ \sqrt{144} }{6} = \frac{12}{6} = 2[/tex]
