Respuesta :

Answer:

C

Step-by-step explanation:

[tex]3\sqrt{50} * \sqrt{22} \\3 \sqrt{50 * 22} \\3\sqrt{1100} \\3\sqrt{11 * 10 * 10}\\3*10\sqrt{11}\\30\sqrt{11}[/tex]

[tex]50 = 25 (2) = (5^2) 2\\\\22 = 11 (2) \Rightarrow\\3\sqrt{50}  \cdot \sqrt{22}  = 3\sqrt{5^2 \cdot 2}  \cdot \sqrt{11 \cdot 2} = 15 \sqrt{2}\cdot \sqrt{2}  \cdot \sqrt{11} = 15(2) \cdot \sqrt{11} = 30 \sqrt{11}[/tex]