化简根号(1/3-2*tan30+1)

题目

化简根号(1/3-2*tan30+1)

答案

√(1/3-2*tan30°+1)
=√1/3-2√3/3+1)
=√[(4-2√3)/3]
=√[(3-2√3+1)/3]
=√[(√3-1)²/3]
=(√3-1)√3/3
=1-√3/3