Ta có: \(\sqrt{50}+\sqrt{26}+1\approx13,17\)
\(\sqrt{168}\approx12,96\)
Vì \(13,17>12,96\) nên \(\sqrt{50}+\sqrt{26}+1>\sqrt{168}\)
Ta thấy:
\(\sqrt{50}>\sqrt{49}=7\)
\(\sqrt{26}>\sqrt{25}=5\)
\(\Rightarrow\sqrt{50}+\sqrt{26}+1>7+5+1=13\)(1)
Mà \(\sqrt{168}< \sqrt{169}=13\left(2\right)\)
Từ (1),(2)\(\Rightarrow\sqrt{50}+\sqrt{26}+1>\sqrt{168}\)