Question

Решите с объяснениями ​

Answer 1

$\displaystyle \sqrt{(13-\sqrt{101})^2}-\sqrt{(\sqrt{101}-11)^2}=|13-\sqrt{101}|-|\sqrt{101}-11|=\\\\ t.k. \sqrt{101}<\sqrt{121}<11; |13-\sqrt{101}|=13-\sqrt{101}; |\sqrt{101}-11|=11-\sqrt{101}\\\\=(13-\sqrt{101})-(11-\sqrt{101})=13-\sqrt{101}-11+\sqrt{101}=13-11=2$