Question

Rút gọn:

Answer 1

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

Answer 2

\(\sqrt{7+4\sqrt{3}}+\dfrac{4-2\sqrt{3}}{\sqrt{7-4\sqrt{3}}}\)

\(=2+\sqrt{3}+\dfrac{4-2\sqrt{3}}{2-\sqrt{3}}\)

\(=4+\sqrt{3}\)