Question

[Khánh An Ngô]

a) x+\(\sqrt{\left(x-2\right)^2}\)

b) \(\sqrt{\left(x-3\right)^2}\) -x

c) x-\(\sqrt{\left(x-1\right)^2}\)

d) \(\sqrt{m^2-6m+9}\) -2m

e) m-\(\sqrt{m^2-2m+1}\)

f) 2x-\(\sqrt{4x^2+4x+1}\)

g)\(\sqrt{x^2-10x+25}\) -x

h) \(\dfrac{\sqrt{x^2+10x+25}}{x^2-25}\)

i) \(\dfrac{\sqrt{1-2m+m^2}}{m^2-1}\)

Answer 1

[Nguyễn Lê Phước Thịnh]

a: TH1: x>=2

A=x+x-2=2x-2

TH2: x<2

A=x+2-x=2

b: TH1: x>=3

A=x-3-x=-3

TH2: x<3

A=3-x-x=-2x+3

c: TH1: x>=1

C=x-x+1=1

TH2: x<1

C=x+x-1=2x-1

d: TH1: m>=3

C=m-3-2m=-3-m

TH2: m<3

C=-m+3-2m=-3m+3

e: TH1: m>=1

E=m-m+1=1

TH2: m<1

E=m+m-1=2m-1