化简√(a+2√a-1)+√(a-2√a-1) (a≥1)谢谢了,

问题描述:

化简√(a+2√a-1)+√(a-2√a-1) (a≥1)谢谢了,

√[a+2√(a-1)]+√[a-2√(a-1)] =√[(a-1)+1+2√(a-1)]+√[(a-1)+1-2√(a-1)] =√[√(a-1) +1]^2+√[√(a-1) -1]^2 =√(a-1) +1+ √(a-1) -1=2√(a-1) or =√(a-1) +1 +1-√(a-1)=2