Question

Rút gọn biểu thức:

\(B=\sqrt{\left(\sqrt{3}-1\right)^2}-\sqrt{4+2\sqrt{3}}\)

Answer 1

\(B=\sqrt{\left(\sqrt{3}-1\right)^2}-\sqrt{4+2\sqrt{3}}\)

\(B=\left|\sqrt{3}-1\right|-\sqrt{\left(\sqrt{3}\right)^2+2\cdot\sqrt{3}\cdot1+1^2}\)

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

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

\(B=\sqrt{3}-1-\sqrt{3}-1\)

\(B=-2\)

Answer 2

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

=căn 3-1-căn 3-1

=-2