Question

[Phuong Ho]

1. So sánh 

a) \(4+\sqrt{33}va\sqrt{29}+\sqrt{14}\)

b) \(\sqrt{23}+\sqrt{15}va\sqrt{91}\)

Answer 1

[Dương Lam Hàng]

a) Ta có: \(4+\sqrt{33}=\sqrt{16}+\sqrt{33}\)

Vì \(\sqrt{16}>\sqrt{14};\sqrt{33}>\sqrt{29}\)

\(\Rightarrow4+\sqrt{33}>\sqrt{29}+\sqrt{14}\)

b) Ta có: \(\sqrt{23}+\sqrt{15}< \sqrt{25}+\sqrt{16}=5+4=9=\sqrt{81}\)