Question

rút gọn biểu thức sau: \(\sqrt{7-4\sqrt{3}} + \sqrt{4-2\sqrt{3}}\)

Answer 1

mk không chép đề

\(\sqrt{4-4\sqrt{3}+3}\) ₊ \(\sqrt{3-2\sqrt{3}+1}\)

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

= 2-\(\sqrt{3}\) +\(\sqrt{3}\) -1 =1

Answer 2

Ta có: \(\sqrt{7-4\sqrt{3}}+\sqrt{4-2\sqrt{3}}\)

= \(\sqrt{4-4\sqrt{3}+3}+\sqrt{3-2\sqrt{3}+1}\)

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