căn 24< căn 25 =5 :
căn 45<căn 49 =7
=> căn 24+ căn 45 < căn 25+ căn 49 =5+7=12
a) \(2\sqrt{3}=\sqrt{12}\)
\(3\sqrt{2}=\sqrt{18}\)
Vì 12<18 => \(\sqrt{12}< \sqrt{18}\Rightarrow2\sqrt{3}< 3\sqrt{2}\)
b) \(12=5+7=\sqrt{25}+\sqrt{49}>\sqrt{24}+\sqrt{45}\)
a) \(2\sqrt{3}\text{=}\sqrt{2^2.3}\text{=}\sqrt{12}\) (1)
\(3\sqrt{2}\text{=}\sqrt{3^2.2}\text{=}\sqrt{18}\) (2)
Mà 12 < 18 (3)
Từ (1) (2) (3) => \(\sqrt{12}\)< \(\sqrt{18}\)
b) Ta có 12 = 5 + 7 = \(\sqrt{5^2}\)+ \(\sqrt{7^2}\)= \(\sqrt{25}\)+ \(\sqrt{49}\)> \(\sqrt{24}+\sqrt{45}\)
#Iza_dang_cap#