已知x大于2,化简√(x+2√(x-1))+√(x

已知x大于2,化简√(x+2√(x-1))+√(x-2√(x-1))

1个回答

√【x+2√(x-1)】=√[√(x-1)+1]^2+√[√(x-1)-1]^2
=│√(x-1)+1│+│√(x-1)-1│ (x>2)
=1+√(x-1)+√(x-1)-1
=2√(x-1)