Vom încadra fiecare radical între 2 numere întregi consecutive:
[tex]- \sqrt{100} = - \sqrt{ {10}^{2} } = - 10[/tex]
[tex]\implies \bf - 10 \\ [/tex]
[tex]\sqrt{16} < \sqrt{18} < \sqrt{25} \implies 4 < \sqrt{18} < 5 \\ [/tex]
[tex]\implies \bf 4 \\ [/tex]
[tex]- \sqrt{9} < - \sqrt{5} < - \sqrt{4} \implies - 3 < - \sqrt{5} < - 2 \\ [/tex]
[tex]\implies \bf - 3 \\ [/tex]
[tex]\sqrt{100} < \sqrt{112} < \sqrt{121} \implies 10 < \sqrt{112} < 11 \\ [/tex]
[tex]\implies \bf 10 \\ [/tex]
[tex]-\sqrt{144} < -\sqrt{125} < -\sqrt{121} \implies -12 < -\sqrt{125} < -11 \\[/tex]
[tex]\implies \bf -12[/tex]
[tex]\sqrt{1600} < \sqrt{1680} < \sqrt{1681} \implies 40 < \sqrt{1680} < 41 \\ [/tex]
[tex]\implies \bf 40[/tex]
[tex]- \sqrt{25} < - \sqrt{20} < - \sqrt{16} \implies - 5 < - \sqrt{20} < - 4 \\ [/tex]
[tex]\implies \bf - 5[/tex]
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Vom încadra fiecare radical între 2 numere întregi consecutive:
[tex]- \sqrt{100} = - \sqrt{ {10}^{2} } = - 10[/tex]
[tex]\implies \bf - 10 \\ [/tex]
[tex]\sqrt{16} < \sqrt{18} < \sqrt{25} \implies 4 < \sqrt{18} < 5 \\ [/tex]
[tex]\implies \bf 4 \\ [/tex]
[tex]- \sqrt{9} < - \sqrt{5} < - \sqrt{4} \implies - 3 < - \sqrt{5} < - 2 \\ [/tex]
[tex]\implies \bf - 3 \\ [/tex]
[tex]\sqrt{100} < \sqrt{112} < \sqrt{121} \implies 10 < \sqrt{112} < 11 \\ [/tex]
[tex]\implies \bf 10 \\ [/tex]
[tex]-\sqrt{144} < -\sqrt{125} < -\sqrt{121} \implies -12 < -\sqrt{125} < -11 \\[/tex]
[tex]\implies \bf -12[/tex]
[tex]\sqrt{1600} < \sqrt{1680} < \sqrt{1681} \implies 40 < \sqrt{1680} < 41 \\ [/tex]
[tex]\implies \bf 40[/tex]
[tex]- \sqrt{25} < - \sqrt{20} < - \sqrt{16} \implies - 5 < - \sqrt{20} < - 4 \\ [/tex]
[tex]\implies \bf - 5[/tex]