Question

so sánh \(\sqrt{16+225}\) và \(\sqrt{16} +\sqrt{225}\)

Answer 1

Ta có: \(\sqrt{16+225}=\sqrt{241}< \sqrt{361}=19=4+15=\sqrt{16}+\sqrt{225}\)

Vậy \(\sqrt{16+225}< \sqrt{16}+\sqrt{225}\)

Answer 2

Ta có:\(\sqrt{16+225}\) =\(\sqrt{241}\) \(\approx15,5241\)

\(\sqrt{16}+\sqrt{225}=4+15=19\)

15,5241<19

hay \(\sqrt{16+225}< \sqrt{16}+\sqrt{225}\)

Vậy \(\sqrt{16+225}< \sqrt{16}+\sqrt{225}\)