Question

So sánh \(4\dfrac{8}{33}\) và \(3\sqrt{2}\)

Answer 1

\(4\dfrac{8}{33}=\dfrac{140}{33}=\sqrt{\left(\dfrac{140}{33}\right)^2}=\sqrt{\dfrac{19600}{1089}}\);

\(3\sqrt{2}=\sqrt{18}=\sqrt{\dfrac{18\cdot1089}{1089}}=\sqrt{\dfrac{19602}{1089}}\)

Ta thấy: \(\dfrac{19600}{1089}< \dfrac{19602}{1089}\Rightarrow\sqrt{\dfrac{19600}{1089}}< \sqrt{\dfrac{19602}{1089}}\)

hay: \(4\dfrac{8}{33}< 3\sqrt{2}\)

Answer 2

@Aki Tsuki @Liana @Mysterious Person @Nguyễn Huy Tú