a) 2/√12 + 5/√75 - (3√3/8 + 6/√108) =
2/2√3 + 5/5√3 - (3√3/8 + 6/2*3√3) =
1/√3 + 1/√3 - (3*3 * √3 * √3/3*8*√3 + 6*4/6*4*√3) =
2/√3 - (9 * 3/24*√3 + 24/24*√3) =
2/√3 - (51/24√3) =
2*24/√24*√3 - 51/24√3 =
- 3/24√3 =
- 1/8√3
b) 6√2/√3 + 3/2√6 + 6√3/3√2 + 4√3/2√2 =
6√2*6√2/6√6 + 9/6√6 + 6√3*2√2/6√6 + 4√3*3√3/6√6 =
36 * 2/6√6 +9/6√6 + 12√6/6√6 + 12 * 3/6√6 =
72/6√6 + 9/6√6 + 12√6/6√6 + 36/6√6 =
117/6√6 + 12/6 =
117/6√6 + 2
