Question

Demonstrati ca 5 radical din 2 minus 7 este mai mic ca 1 supra 14, va rog in cuvinte nu cu <,^ s.a.m.d

Answer 1

[tex]5 \sqrt{2}-7\ \textless \ \frac{1}{14} \ \textless \ =\ \textgreater \ 5 \sqrt{2}\ \textless \ 7+\frac{1}{14}\ \textless \ =\ \textgreater \ \sqrt{5^2\cdot 2} \ \textless \ \frac{99}{14} \\ \sqrt{50} \ \textless \ \sqrt{ \frac{9801}{196} } \ \textless \ =\ \textgreater \ 50\ \textless \ \frac{9801}{196} \ \textless \ =\ \textgreater \ \frac{9800}{196}\ \textless \ \frac{9801}{196}[/tex]