Question

Answer 1

\(E=\sqrt{\left(2-\sqrt{3}\right)^2}-\dfrac{1}{2}\sqrt{12}=\left|2-\sqrt{3}\right|-\sqrt{3}=2-\sqrt{3}-\sqrt{3}=2-2\sqrt{3}\)

Answer 2

\(E=\sqrt{\left(2-\sqrt{3}\right)^2}-\dfrac{1}{2}\sqrt{12}\)

\(=2-\sqrt{3}-\sqrt{3}\)

\(=2-2\sqrt{3}\)

Answer 3

\(E=\sqrt{\left(2-\sqrt{3}\right)^2}-\dfrac{1}{2}\sqrt{12}\)

\(=2-\sqrt{3}-\sqrt{3}=2-2\sqrt{3}\)