Indices, SMB-032 Rationalise the denominator of the surd fraction `(sqrt(12))/(sqrt(6)-2)`. (3 marks) --- 5 WORK AREA LINES (style=lined) --- Show Answers Only `3sqrt(2)+2sqrt(3)` Show Worked Solution `(sqrt(12))/(sqrt(6)-2)` `=(2sqrt(3))/(sqrt(6)-2) xx (sqrt(6)+2)/(sqrt(6)+2)` `=(2sqrt(3)(sqrt(6)+2))/((sqrt(6))^2-2^2)` `=(2sqrt(18)+4sqrt(3))/(2)` `=(6sqrt(2)+4sqrt(3))/(2)` `=3sqrt(2)+2sqrt(3)`