Question

1. So sánh

a. \(2\sqrt{3}\) và \(\sqrt{15}\)

b. \(6\sqrt{4}\) và 5\(\sqrt{6}\)

c. -4\(\sqrt{3}\) và -5\(\sqrt{2}\)

2. Tính S= \(\sqrt{1^3+2^3+3^3+...+2022^3}\)

Answer 1

1.So sánh

\(a,2\sqrt{3}và\sqrt{15}\\ Tacó:2\sqrt{3}=\sqrt{12}\\ Vì\sqrt{12}< \sqrt{15}\\ \Rightarrow2\sqrt{3}< \sqrt{15}\\ b,6\sqrt{4}và5\sqrt{6}\\ Tacó:6\sqrt{4}=\sqrt{144}\\ 5\sqrt{6}=\sqrt{150}\\ Vì\sqrt{144}< \sqrt{150}\\ \Rightarrow6\sqrt{4}< 5\sqrt{6}\\ c,-4\sqrt{3}và-5\sqrt{2}\\ Tacó:-4\sqrt{3}=\sqrt{48}\\ -5\sqrt{2}=\sqrt{50}\\ Vì\sqrt{48}< \sqrt{50}\\ \Rightarrow-4\sqrt{3}< -5\sqrt{2}\)