Question

so sanh : \(\sqrt{9+25}\) va \(\sqrt{9}\) +\(\sqrt{25}\)

Answer 1

\(\sqrt{9+25}=\sqrt{34}< \sqrt{36}=6\)

\(\sqrt{9}+\sqrt{25}=3+5=8>6\)

\(\Rightarrow\sqrt{9+25}< \sqrt{9}+\sqrt{25}\)

Answer 2

So sánh:\(\sqrt{9+25}\)và \(\sqrt{9}+\sqrt{25}\)

ta có: \(\sqrt{9+25}=\sqrt{34}\)

\(\sqrt{9}+\sqrt{25}=3+5=8=\sqrt{64}\)

Dễ thấy: \(\sqrt{34}< \sqrt{64}\)

Vậy: \(\text{ }\sqrt{9+25}< \sqrt{9}+\sqrt{25}\)