Question

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

Answer 1

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

\(=\left(\sqrt{3}.\sqrt{3}\right)-\left(\sqrt{3}.1\right)+\left(\sqrt{3}.1\right)-\left(1.1\right)\)

\(=\sqrt{3^2}-\sqrt{3}+\sqrt{3}-1\)

\(=3+0-1\)

\(=3-1\)

\(=2\)

Answer 2

\((\sqrt3+1)(\sqrt3-1)=(\sqrt3)^2-1^2=3-1=2\)