Question

so sánh

a, \(2\sqrt{3}\) và \(3\sqrt{2}\)

b, \(\sqrt{7}+\sqrt{15};\sqrt{7}\)

Answer 1

a/ Có: \(2\sqrt{3}=\sqrt{12};3\sqrt{2}=\sqrt{18}\)

Ta có: \(\sqrt{12}< \sqrt{18}\Rightarrow2\sqrt{3}< 3\sqrt{2}\)

b/ Có: \(\sqrt{15}>\sqrt{7}\Rightarrow\sqrt{15}+\sqrt{7}>\sqrt{7}\)

Answer 2

b/ (đề bạn nói ở cmt)

Ta có: \(\sqrt{7}< \sqrt{9}=3;\sqrt{15}< \sqrt{16}=4\)

\(\Rightarrow\sqrt{7}+\sqrt{15}< 3+4=7\)

vậy \(\sqrt{7}+\sqrt{15}< 7\)