Question

A=√6(√2+1) -√2(√3-√6)

Answer 1

√6 (√2 + 1) - √2.(√3 - √6)
= √6.√2 + 1√6 - √2.√3 - √2.(-√6)
= √12 + √6 - √6 +√12
= 2√12
= 2.√4.√3
= 2.2.√3
= 4√3
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12: 2
6: 2
3: 3
1     =  2.2.3 = 4.3 = √4.√3 = 2√3