Question

Efectuați calculele:
a) √12-3/3-(1/√3-1/3):√(1-√3)²/√12+√(1+√3)²

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Answer 1

a) (√12-3)/3-(1/√3-1/3):√(1-√3)²/√12+√(1+√3)²=

a) (2√3-3)/3-(√3/3-1/3):(√3-1)/2√3+1+√3=

(2√3-3)/3-(√3-1)/3×2√3/(√3-1)+1+√3=

(2√3-3)/3-2√3/3+1+√3=

2√3/3-3/3-2√3/3+1+√3=-1+1+√3

=√3