# How do you rationalize the denominator and simplify 2/(sqrt[3] + sqrt[2])?

Multiply the denominator and numerator with $\sqrt{3} - \sqrt{2}$
2*(sqrt3-sqrt2)/[(sqrt[3] + sqrt[2])*(sqrt3-sqrt2)]= 2*(sqrt3-sqrt2)/[sqrt3^2-sqrt2^2]= 2*(sqrt3-sqrt2)