Question

rút gọn √ (1-√ 2020)² *(√ (2021-2√2020))    

Answer 1

\(\sqrt{\left(1-\sqrt{2020}\right)^2\cdot\left(\sqrt{2021-2\sqrt{2020}}\right)}\)

\(=\sqrt{\left(1-\sqrt{2020}\right)^2\cdot\sqrt{\left(1-\sqrt{2020}\right)^2}}\)

\(=\sqrt{\left(1-\sqrt{2020}\right)^2\cdot\left(1-\sqrt{2020}\right)}\)

\(=\sqrt{\left(1-\sqrt{2020}\right)^3}=\left(1-\sqrt{2020}\right)\sqrt{1-\sqrt{2020}}\)