Giải:
a) \(\sqrt{\left(4+\sqrt{2}\right)^2}-\sqrt{\left(4-\sqrt{17}\right)^2}\)
\(=4+\sqrt{2}-\left|4-\sqrt{17}\right|\)
\(=4+\sqrt{2}-\left|\sqrt{17}-4\right|\)
\(=4+\sqrt{2}-\left(\sqrt{17}-4\right)\)
\(=8+\sqrt{2}-\sqrt{17}\)
Vậy ...
b) \(2\sqrt{3}+\sqrt{\left(2-\sqrt{3}\right)^2}\)
\(=2\sqrt{3}+2-\sqrt{3}\)
\(=2+\sqrt{3}\)
Vậy ...