Explicație pas cu pas:
[tex]a) \sqrt{2} \times \sqrt{6} = \sqrt{12} = 2 \sqrt{3 } \\ b) \sqrt{3} \times \sqrt{15} = \sqrt{45} = 3 \sqrt{5} \\ c) \sqrt{5} \times \sqrt{10} = \sqrt{50} = 5 \sqrt{2} \\ d) \sqrt{15} \times \sqrt{6} = \sqrt{90} = 3 \sqrt{10 } \\ e) \sqrt{ \frac{2}{3} } \times \sqrt{30} = \frac{ \sqrt{2} }{ \sqrt{3} } \times \sqrt{30} = \\ \frac{ \sqrt{60} }{ \sqrt{3} } = \frac{2 \sqrt{15} }{ \sqrt{3} } = 2 \sqrt{5} [/tex]
[tex]f) \sqrt{15} \times \sqrt{ \frac{5}{4} } = \sqrt{15} \times \frac{ \sqrt{5} }{ \sqrt{4} } = \frac{ \sqrt{75} }{ \sqrt{4} } = \frac{5 \sqrt{3} }{ \sqrt{4} } [/tex]
[tex]g) \frac{ \sqrt{3} }{ \sqrt{5 } } \times \frac{ \sqrt{5} }{ \sqrt{24} } = \frac{ \sqrt{3} }{2 \sqrt{6} } = \frac{1}{2 \sqrt{2} } [/tex]
