2√3tan15°+tan15°
= (2√3+1)tan15°
= (2√3+1)tan(60°-45°)
= (2√3+1)(tan60°-tan45°)/(1+tan60°tan45°)
= (2√3+1)(√3-1)/(1+√3)
= (2√3+1)(√3-1)²/[(1+√3)(√3-1)]
= (2√3+1)(4-2√3)/2
= (2√3+1)(2-√3)
= 4√3+2-2×3-√3
= 3√3 - 4
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