lam ho em bai 26 trang16 (sgk)va bài 14 trang77sgk
bài 26: a) [TEX]\sqrt{25+9}=\sqrt{34}[/TEX] ; [TEX]\sqrt{25}+\sqrt9 = 5+3=8[/TEX]
vì 64>34 \Rightarrow [TEX]\sqrt{64} > \sqrt{34} \Rightarrow 8> \sqrt{34} \Rightarrow \sqrt{25+9}[/TEX]
b) ta có: [TEX](\sqrt{a+b})^2 =a+b[/TEX]
[TEX](\sqrt{a}+\sqrt{b} = a+b+2.\sqrt{ab}[/TEX]
vì a,b>0 \Rightarrow [TEX]2.\sqrt{ab} >0 [/TEX]
\Rightarrow [TEX](\sqrt{a+b})^2 < (\sqrt{a}+\sqrt{b})^2[/TEX]
vì a,b >0 \Rightarrow [TEX](\sqrt{a+b})^2 < (\sqrt{a}+\sqrt{b})^2[/TEX] \Leftrightarrow [TEX]\sqrt{(\sqrt{a+b})^2} < \sqrt{(\sqrt{a}+\sqrt{b})^2} [/TEX] \Leftrightarrow [TEX]|\sqrt{a}+\sqrt{b} > |\sqrt{a+b} \Leftrightarrow \sqrt{a}+\sqrt{b} > \sqrt{a+b}[/TEX]