Question

Rút gọn biểu thức:

A=\(\dfrac{1}{\sqrt{3}+1}+\dfrac{1}{\sqrt{3}-1}\)

Answer 1

`A=1/[\sqrt{3}+1]+1/[\sqrt{3}-1]`

`A=[\sqrt{3}-1+\sqrt{3}+1]/[3-1]`

`A=[2\sqrt{3}]/2=\sqrt{3}`

Answer 2

\(A=\dfrac{1}{\sqrt{3+1}}+\dfrac{1}{\sqrt{3-1}}\)

\(A=\dfrac{\sqrt{3-1+\sqrt{3+1}}}{\left(\sqrt{3+1}\right)\left(\sqrt{3-1}\right)}\)

\(A=\dfrac{2\sqrt{3}}{3-1}\)

\(A=\dfrac{2\sqrt{3}}{2}\)

\(A\sqrt{3}\)

Answer 3

\(A=\dfrac{1}{\sqrt{3}+1}+\dfrac{1}{\sqrt{3}-1}\)

\(A=\dfrac{\sqrt{3}-1+\sqrt{3}+1}{3-1}\)

\(A=\dfrac{2\sqrt{3}}{2}\)

\(A=\sqrt{3}\)