Question

A- 15 √11 B- 30 √22 C- 30 √11 D- 15 √22

Answer 1

Answer:

C

Step-by-step explanation:

$3\sqrt{50} * \sqrt{22} \\3 \sqrt{50 * 22} \\3\sqrt{1100} \\3\sqrt{11 * 10 * 10}\\3*10\sqrt{11}\\30\sqrt{11}$

Answer 2

$50 = 25 (2) = (5^2) 2\\\\22 = 11 (2) \Rightarrow\\3\sqrt{50} \cdot \sqrt{22} = 3\sqrt{5^2 \cdot 2} \cdot \sqrt{11 \cdot 2} = 15 \sqrt{2}\cdot \sqrt{2} \cdot \sqrt{11} = 15(2) \cdot \sqrt{11} = 30 \sqrt{11}$