Question

Tính :

A= \(\dfrac{1}{2\sqrt{1}+1\sqrt{2}}+\dfrac{1}{3\sqrt{2}+2\sqrt{3}}+...+\dfrac{1}{2023\sqrt{2022}+2022\sqrt{2023}}\)

Answer 1

=1-1/căn 2+1/căn 2-1/căn 3+...+1/căn 2022-1/căn 2023

=(2023-căn 2023)/2023