Express 5/(2-sqrt(3)) in the form a + b*sqrt(3)

The first step that needs to be taken is to get rid of the square root from the denominator. This can be done by multiplying the top and bottom of the fraction by 2 + sqrt(3). This gives (10 + 5sqrt(3))/(4-3) = 10 + 5sqrt(3). This gives the answer in the desired form with a as 10 and b as 5.