Question

Решите с объяснениями ​

Answer 1

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