[tex] \frac{10}{ \sqrt{3} } = \frac{10 \sqrt{3} }{ \sqrt{3} \sqrt{3} } = \frac{10 \sqrt{3} }{3} [/tex]
[tex] \frac{ \sqrt{8} }{ \sqrt{5} } = \frac{ \sqrt{8} \sqrt{5} }{ \sqrt{5} \sqrt{5} } = \frac{ \sqrt{40} }{5} = \frac{2 \sqrt{10} }{5} [/tex]
[tex] \frac{ \sqrt{11} }{ \sqrt{10} } = \frac{ \sqrt{11} \sqrt{10} }{10} = \frac{ \sqrt{110} }{10} [/tex]
[tex] \frac{6 \sqrt{2} }{ \sqrt{5} } = \frac{6 \sqrt{2} \sqrt{5} }{5} = \frac{ 6\sqrt{10} }{5} [/tex]
[tex] - \frac{ 5\sqrt{3} }{ \sqrt{15} } = - \frac{5}{ \sqrt{5} } = - \sqrt{5} [/tex]
[tex] \frac{4 \sqrt{2} }{5 \sqrt{6} } = \frac{4}{5 \sqrt{3} } = \frac{4 \sqrt{3} }{5 \sqrt{3} \sqrt{3} } = \frac{4 \sqrt{3} }{15} [/tex]
[tex] \frac{7 \sqrt{3} }{3 \sqrt{5} } = \frac{7 \sqrt{3} \sqrt{5} }{3 \sqrt{5} \sqrt{5} } = \frac{7 \sqrt{15} }{3 \times 5} = \frac{7 \sqrt{15} }{15} [/tex]
Atentie! Aceasta metoda de rationalizare se foloseste NUMAI la inmultire, nu si la adunare si scadere!!