[tex]( \frac{ \sqrt{3} }{ \sqrt{2} } - \frac{5 \sqrt{2} }{ \sqrt{3} }) \div ( \frac{2 \sqrt{3} }{5 \sqrt{2} } - \frac{ \sqrt{2} }{2 \sqrt{3} } )[/tex]
Rationalizezi si simplifici
[tex]( \frac{ \sqrt{6} }{2} - \frac{5 \sqrt{6} }{3} ) \div ( \frac{ \sqrt{6} }{5} - \frac{ \sqrt{2} }{2 \sqrt{3} } )[/tex]
Aduci la acelasi numitor
[tex] - \frac{7 \sqrt{6} }{6} \div ( \frac{ \sqrt{6} }{5} - \frac{ \sqrt{6} }{6 } )[/tex]
[tex]- \frac{7 \sqrt{6} }{6} \div \frac{ \sqrt{6} }{30} [/tex]
[tex]- \frac{7 \sqrt{6} }{6} \times \frac{30}{ \sqrt{6} } [/tex]
Se simplifica rad din 6 cu rad din 6
[tex] - \frac{7}{6} \times 30[/tex]
Se simplifica 6 cu 30
[tex] - 7 \times 5 = - 35[/tex]
