Question

How do you divide `(8sqrt15)/(5sqrt2)`?

Answer 1

Since 15 and 2 are not neatly dividable, just first get rid of the `sqrt2` under the bar, by multiplying top and bottom by `sqrt2`

`(8sqrt15)/(5sqrt2) * sqrt2/sqrt2=(8sqrt(15*2))/(5sqrt2^2)=(8sqrt30)/10=4/5sqrt30`