Since 3/sqrt(3)3√3 has a radical in its denominator, you must do a process known as rationalization. Rationalization is when you must multiply the whole fraction by another fraction where the numerator and denominator are sqrt(3)√3. By doing so, you remove the radical, since sqrt(3)√3 (1.7320508...) is irrational, that is, the decimal goes on forever without repeating.
3/sqrt(3)color(red)(*sqrt(3)/sqrt(3))
=(3color(red)(*sqrt(3)))/(sqrt(3)color(red)(*sqrt(3)))
=(3sqrt(3))/3
Notice how once you rationalize the fraction, the denominator is not irrational anymore. Also, keep in mind that you did not change the value of the simplified fraction. Since sqrt(3)/sqrt(3) is equal to 1, you simply rearranged the way it was written. The value of the simplified fraction stays the same.
