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[2√2]/[√3] - 3/[√6]=
[(2√2)*√2]/[√6] - 3/[√6]=
[2√2*√2-3]/[√6]=
[4-3]/[√6]=
1/[√6] =
[1*√6] / [√6*√6]=
[√6]/6
b)
[3√3]/[√10] - [2√5]/[√6]=
[3√3*√3]/[√30] - [2√5*√5]/[√6]=
[3√3*√3 - 2√5*√5] / [√30]=
[9-10] / [√30]=
-1/[√30]=
[-1*√30]/[√30*√30]=
[-√30]/30