Question

thực hiện phép tính \(\left(\sqrt{45}-\sqrt{20}+2022\sqrt{5}\right)\):\(\sqrt{5}\)

Answer 1

\(\left(\sqrt{45}-\sqrt{20}+2022\sqrt{5}\right):\sqrt{5}\)

\(=\left(\sqrt{3^2\cdot5}-\sqrt{2^2\cdot5}+2022\sqrt{5}\right):\sqrt{5}\)

\(=\left(3\sqrt{5}-2\sqrt{5}+2022\sqrt{5}\right):\sqrt{5}\)

\(=\sqrt{5}\cdot\left(3-2+2022\right):\sqrt{5}\)

\(=2023\sqrt{5}:\sqrt{5}\)

\(=2023\)