Question

How do you simplify `sqrt2 div 5sqrt3`?

Answer 1

`(sqrt(2/3))/5`

Explanation:

Step 1: Rewrite in fraction form:
`sqrt(2)/(5sqrt(3))`

Then you can separate the square roots from the fraction:
`1/5*sqrt(2)/sqrt(3)`

When a fraction has the same exponent (in this case `1/2`) you can rewrite the exponent outside of the entire fraction like this:

`1/5 * (2/3)^(1/2)` or `1/5* sqrt(2/3)`

At this point you can accept the previus answers as the simplified form or you can remove the `1/5` and instead, put the entire root divided by 5:
`(sqrt(2/3))/5`