Question

How do you rationalize the denominator and simplify `3/(sqrtx+2-sqrtx)`?

Answer 1

Rearrange the denominator and simplify to get
`color(white)("XXX")3/2`

Explanation:

`3/(sqrt(x)+2-sqrt(x)) = 3/(color(blue)(sqrt(x)-sqrt(x))+2) = 3/(color(blue)(0)+2)= 3/2`