Question

How do you simplify `6/sqrt20`?

Answer 1

`6/sqrt(5)=3/5sqrt(5)`

Explanation:

`6/sqrt(20)`
`color(white)("XXX")=6/sqrt(2^2xx5)`

`color(white)("XXX")=6/2sqrt(5)`

`color(white)("XXX")=3/sqrt(5)`

Often when asked to simplify a fraction containing a radical, we are expected to clear the radical from the denominator;
so...
`color(white)("XXX")=3/sqrt(5) xx sqrt(5)/sqrt(5)`

`color(white)("XXX")=(3sqrt(5))/5`