Question

So sánh: 

\(\sqrt{5\sqrt{3}}\) và \(\sqrt{3\sqrt{5}}\)

Answer 1

`\sqrt{5\sqrt{3}}=\sqrt{\sqrt{5^2 .3}}=\sqrt{\sqrt{75}}`

`\sqrt{3\sqrt{5}}=\sqrt{\sqrt{3^2 .5}}=\sqrt{\sqrt{45}}`

Vì `75 > 45<=>\sqrt{75} > \sqrt{45}`

                `<=>\sqrt{\sqrt{75}} > \sqrt{\sqrt{45}}`

 Hay `\sqrt{5\sqrt{3}} > \sqrt{3\sqrt{5}}`