How to I simplify the square root of 50 times the square root of 18

first, simplify both those radicals... radical 50 would simplify to 5 radical 2 and radical 18 would simplify to 3 radical 2.. So then you have 5 radical 2 times 3 radical 2, then multiply the first two numbers together which is 15, then multiply the two numbers under the radical sign, which is 4, so you have 15 radical 4, the square root of 4 = 2, so then you're left with 15 x 2 which = 30. I THINK that's how you do it. Hope my instructions were clear enough.

\sqrt{50}\, \sqrt{18}

\sqrt{5*5*2} \sqrt{3*3*2}

5\sqrt{2}*3 \sqrt{2}

15 \sqrt{2*2} = 30