Question

\(2\sqrt{27}-5\sqrt{12}+\frac{3}{2-\sqrt{3}}+\sqrt{4-2\sqrt{3}}\)

rút gọn

Answer 1

(Biểu thức ban đầu) = 2.9 - 5.2√3 + 3.(2+√3) + √3 - 1= 18 - 10√3 + 6 + 3√3 + √3 - 1= 23 - 6√3

Answer 2

2\(\sqrt{27}\) - 5\(\sqrt[]{12}\) + \(\frac{3}{2-\sqrt{3}}\) + \(\sqrt{4-2\sqrt{3}}\)

= 6\(\sqrt{3}\) - 10\(\sqrt{3}\) + 6 + 3\(\sqrt{3}\) + \(\sqrt{3}\) -1

= 5