Question

ko dunhf máy tính hãy so sánh 

\(\sqrt{50+2}\)và \(\sqrt{50}\)+\(\sqrt{2}\)

Answer 1

\(\sqrt{50+2}=\sqrt{50}+\sqrt{2}\)

Tích nha

Answer 2

\(\sqrt{50+2}\)

\(=\sqrt{52}< 8\)

\(\sqrt{50}+\sqrt{2}>\sqrt{49}+\sqrt{1}=8\)

Answer 3

\(\sqrt{50+2}=\sqrt{52}< \sqrt{64}=8=7+1=\sqrt{49}+\sqrt{1}< \sqrt{50}+\sqrt{2}\)\(\sqrt{50}+\sqrt{2}\)

Answer 4

\(\sqrt{50+2}=\sqrt{52}\)

Mà \(\sqrt{52}< \sqrt{64}\)

\(\Rightarrow\sqrt{52}< 8\)

Lại có :

\(\sqrt{50}>\sqrt{49}\Rightarrow\sqrt{50}>7\)

\(\sqrt{2}>\sqrt{1}\Rightarrow\sqrt{2}>1\)

\(\Rightarrow\sqrt{50}+\sqrt{2}>7+1=8\)

\(\Rightarrow\sqrt{50}+\sqrt{2}>8>\sqrt{50+2}\)

Vậy \(\sqrt{50}+\sqrt{2}>\sqrt{50+2}.\)

Answer 5

mik tán thành