Calculus   Dividing Radicals
posted by Untamed .
For the radical symbol, I'll just make a v.
3V240/V108
V240 = 4V15
V108 = 6V3
4V15/6V3 = ???
I am able to divide 3 into 15, and I get 5. But I cant do the same with 4 and 6 because they don't go into eachother evenly, and I can't reduce them either, otherwise that would leave me with 2/3. The answer is 2V5, and I don't get where they got the 2 from, this is really confusing.

3√240 / √180
= 3√16√15 / (√36√5)
= 12√15 / (6√5)
= 2√15 / √5
= 2√3