Показать справедливость неравенства 1.3,4 меньше [latex] \sqrt{12} [/latex] меньше 3,62. 5 меньше [latex] \sqrt{26} [/latex] меньше 5,1

1. [latex]3,4< \sqrt{12} <3,6[/latex] [latex]3,4=3 \frac{4}{10} =\frac{34}{10}= \frac{17}{5}=\sqrt{ \frac{289}{25}}[/latex] [latex] \sqrt{12} = \sqrt{ \frac{300}{25} } [/latex] [latex]3,6 = 3 \frac{6}{10} = \frac{36}{10} = \frac{18}{5}= \sqrt{\frac{324}{25}}[/latex] [latex]\sqrt{ \frac{289}{25}}<\sqrt{ \frac{300}{25}}<\sqrt{ \frac{324}{25} } [/latex] 2. [latex]5< \sqrt{26} <5,1[/latex] [latex]5= \sqrt{25}= \sqrt{ \frac{2500}{100} } [/latex] [latex]5,1=5 \frac{1}{10} = \frac{51}{10} = \sqrt{ \frac{2601}{100} } [/latex] [latex] \sqrt{26} = \sqrt{ \frac{2600}{100}} [/latex] [latex] \sqrt{ \frac{2500}{100} }< \sqrt{ \frac{2600}{100}}< \sqrt{ \frac{2601}{100} } [/latex]