Question

\(\sqrt{\left(5-\sqrt{13}\right)^2}-\sqrt{\left(\sqrt{13}-4\right)^2}\)

Answer 1

\(\sqrt{\left(5-\sqrt{13}\right)^2}-\sqrt{\left(\sqrt{13}-4\right)^2}=\left(5-\sqrt{13}\right)-\left(\sqrt{13}-4\right)=5-\sqrt{13}-\sqrt{13}+4=9-2\sqrt{13}\)

Answer 2

Lời giải:

\(\sqrt{(5-\sqrt{13})^2}-\sqrt{(\sqrt{13}-4)^2}=|5-\sqrt{13}|-|\sqrt{13}-4|\)

\(=5-\sqrt{13}-(4-\sqrt{13})=1\)