Question

rút gọn

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

b) \(\sqrt{15-6\sqrt{5}}\) + \(\sqrt{33-12\sqrt{6}}\)

c) \(\left(15\sqrt{200}-3\sqrt{450}+2\sqrt{50}\right):\sqrt{10}\)

Answer 1

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

Answer 2

\((15\sqrt{200}-3\sqrt{450}+2\sqrt{50}):\sqrt{10}=\left(15.10\sqrt{2}-3.15\sqrt{2}+2.5\sqrt{2}\right):\sqrt{10}=\frac{115\sqrt{2}.1}{\sqrt{10}}=\frac{115\sqrt{20}}{10}\)

Answer 3

Hạ Hy bạn xem lại câu b đúng đề chưa