Mixed rationalise the denominator

A worksheet where you have to rationalise the denominator of easier, medium difficulty and harder expressions. Easier expression will be of the form a/root(b). Medium difficulty expressions will be of the form a/(b+root(c)). Harder expressions will be of the form (a+root(b))/(c+root(d)). a, b, c and d are integers in each case.

Number of problems

5 problem
10 problems
20 problems

Answer sheet

Include answer sheet.