Question

So sánh : \(3+2\sqrt{13}\) và \(8+\sqrt{5}\)

Answer 1

\(8+\sqrt{5}=8+\sqrt{\frac{12500}{2500}}>8+\sqrt{\frac{12321}{2500}}=\frac{511}{50}\)

\(3+2\sqrt{13}=3+2\sqrt{\frac{130000}{10000}}< 3+2\sqrt{\frac{130321}{10000}}=\frac{511}{50}\)

\(\Rightarrow8+\sqrt{5}>3+2\sqrt{13}\)