Question

How do you simplify `2/sqrt(5)` ?

Answer 1

`sqrt(4/5)`

Explanation:

Just turn two into the square root of four so you go from this:

`2/sqrt5`

to this:

`sqrt4/sqrt5`

Now you can put the square root infornt of them to get:

`sqrt(4/5)`

And that is pretty much it.

Answer 2

`(2sqrt5)/5=2/5sqrt5`

Explanation:

`color(blue)"rationalise the denominator"`

`"that is remove the radical from the denominator"`

`"This is done by multiplying numerator/denominator"`
`"by the radical on the denominator"`

`"note that "sqrtaxxsqrta=a`

`rArr2/sqrt5xxsqrt5/sqrt5=(2sqrt5)/5=2/5sqrt5`