1.
\(\sqrt{\left(3-\sqrt{7}\right)^2}-\sqrt{\left(\sqrt{7}+2\right)^2}\)
\(=\left|3-\sqrt{7}\right|-\left|\sqrt{7}+2\right|\)
\(=3-\sqrt{7}-\sqrt{7}-2=1-2\sqrt{7}\)
2.
\(\sqrt{\left(5-2\sqrt{3}\right)^2}+\sqrt{\left(\sqrt{3}-5\right)^2}\)
\(=\left|5-2\sqrt{3}\right|+\left|\sqrt{3}-5\right|\)
\(=5-2\sqrt{3}+5-\sqrt{3}=10-3\sqrt{3}\)
3.
\(\sqrt{\left(2\sqrt{2}-\sqrt{3}\right)^2}-\sqrt{\left(\sqrt{2}-2\sqrt{3}\right)^2}\)
\(=\left|2\sqrt{2}-\sqrt{3}\right|-\left|\sqrt{2}-2\sqrt{3}\right|\)
\(=2\sqrt{2}-\sqrt{3}+\sqrt{2}-2\sqrt{3}\)
\(=3\sqrt{2}-3\sqrt{3}\)
4.
\(\sqrt{\left(\sqrt{11}-3\sqrt{2}\right)^2}-\sqrt{\left(\sqrt{11}-\sqrt{2}\right)^2}\)
\(=\left|\sqrt{11}-3\sqrt{2}\right|-\left|\sqrt{11}-\sqrt{2}\right|\)
\(=-\sqrt{11}+3\sqrt{2}-\sqrt{11}+\sqrt{2}\)
\(=-2\sqrt{11}+4\sqrt{2}\)
1: Ta có: \(\sqrt{\left(3-\sqrt{7}\right)^2}-\sqrt{\left(\sqrt{7}+2\right)^2}\)
\(=3-\sqrt{7}-\sqrt{7}-2\)
\(=-2\sqrt{7}+1\)
2: Ta có: \(\sqrt{\left(5-2\sqrt{3}\right)^2}+\sqrt{\left(\sqrt{3}-5\right)^2}\)
\(=5-2\sqrt{3}+5-\sqrt{3}\)
\(=10-3\sqrt{3}\)
