Question

How do you simplify `(2sqrt50) / sqrt2`?

Answer 1

10

Explanation:

Oh I like this one.

Well, you have to notice that `2=sqrt(2)*sqrt(2)`
and rewrite as such:

`(sqrt2 *sqrt2*sqrt50)/(sqrt2)`

You can then cancel out a `sqrt2` both top and bottom and get
`=sqrt2*sqrt50`

Which is easy because the multiplication of square-roots is like the square-root of the multiplication, I mean:
`sqrt(a)*sqrt(b)=sqrt(a*b)`
So we have:
`=sqrt(2*50)`
`=sqrt(100)`
`=10`