Question

How do you rationalize the denominator of 5 over square root of 3?

Answer 1

`{5sqrt(3)}/3`

Explanation:

To razionalize means to get rid of roots at the denominator. Since `sqrt(a) * sqrt(a) = (sqrt(a))^2 = a`, then we can multiply our fraction by `1`, so that we won't change its value, but we will write `1` in a smart form, in this case `sqrt(3)/sqrt(3)`. Doing the multiplication, we get

`5/sqrt(3) * sqrt(3)/sqrt(3) = {5sqrt(3)}/{sqrt(3)*sqrt(3)} = {5sqrt(3)}/3`.