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produsul dintre un nr necunoscut si 3√6 =30√3. Aflati nr necunoscut

Răspuns :

[tex]3 \sqrt{6} * x = 30 \sqrt{3}[/tex]
[tex]x = \frac{30\sqrt{3}}{3\sqrt{6}}[/tex]
[tex]x = \frac{10}{\sqrt{2}} / radionalizam cu \sqrt{2}[/tex]
[tex]x = \frac{10\sqrt{2}}{2}[/tex]
[tex]x = 5\sqrt{2}[/tex]

[tex]x\cdot 3\sqrt6=30\sqrt3\\ x=\frac{30\sqrt3}{3\sqrt6}\\ x=\frac{10}{\sqrt2}\\ x=\frac{10\sqrt2}{2} \Rightarrow \boxed{\boxed{x=5\sqrt2}}[/tex]