Question

How do you simplify `3 / (2 sqrt2)`?

Answer 1

The most you can do is rationalize the denominator to get
`(3sqrt(2))/4`

Explanation:

`3/(2sqrt(2))= 3/(2sqrt(2))*sqrt(2)/sqrt(2)`

`color(white)("XXXX")=(3sqrt(2))/(2(sqrt(2))^2)`

`color(white)("XXXX")=(3sqrt(2))/(2*2)`

`color(white)("XXXX")=(3sqrt(2))/4`