Câu a:
Ta có: \(\left\{ \matrix{{2^2} = 4 \hfill \cr {\left( {\sqrt 3 } \right)^2} = 3 \hfill \cr} \right.\)
Vì \(4>3 \Leftrightarrow \sqrt{4}>\sqrt{3} \Leftrightarrow 2>\sqrt{3}\).
Vậy \(2>\sqrt{3}\).
Câu b:
Ta có: \(\left\{ \matrix{{6^2} = 36 \hfill \cr {\left( {\sqrt {41} } \right)^2} = 41 \hfill \cr} \right.\)
Vì \(36< 41 \Leftrightarrow \sqrt{36} < \sqrt{41} \Leftrightarrow 6 < \sqrt {41}\)
Vậy \(6<\sqrt{41}\).
Câu c:
Ta có: \(\left\{ \matrix{{7^2} = 49 \hfill \cr {\left( {\sqrt {47} } \right)^2} = 47 \hfill \cr} \right.\)
Vì \(49>47 \Leftrightarrow \sqrt{49}>\sqrt{47} \Leftrightarrow 7>\sqrt{47}\).
Vậy \(7>\sqrt{47}\).
