Question

Rút gọn A

A = \(\sqrt{x+2\sqrt{x-1}}-\sqrt{x-1}\)

Các bn giúp mình đi ... Thanks

Answer 1

A = \(\sqrt{x+2\sqrt{x-1}}\) - \(\sqrt{x-1}\)

A = \(\sqrt{x-1+2\sqrt{x-1}+1}\) - \(\sqrt{x-1}\)

A= \(\sqrt{\left(\sqrt{x-1}+1\right)^2}\) - \(\sqrt{x-1}\)

A = \(|\) \(\sqrt{x-1}\) +1 \(|\) - \(\sqrt{x-1}\)

A = \(\sqrt{x-1}\) +1 - \(\sqrt{x-1}\)

A = 1

Answer 2

A = \(\sqrt{x+2\sqrt{x-1}}-\sqrt{x-1}\)

A = \(\sqrt{x-1+2\sqrt{x-1}+1}-\sqrt{x-1}\)

A = \(\sqrt{\left(\sqrt{x-1}+1\right)}^2-\sqrt{x-1}\)

A = \(\sqrt{x-1}+1-\sqrt{x-1}\)

A = 1

Chúc bạn học tốt!

Answer 3

A=\(\sqrt{x-1+2\sqrt{x-1}+1}-\sqrt{x-1}\)

A=\(\sqrt{\sqrt{x-1}^2}-\sqrt{x-1}\)

A=\(\sqrt{x-1}-\sqrt{x-1}\)

A=0