Răspuns :
Pentru a le compara, trebuie puse sub radical.
[tex]2 \sqrt{3} = \sqrt{3 \times {2}^{2} } = \sqrt{3 \times 4} = \sqrt{12} \\ 7 \sqrt{2} = \sqrt{2 \times {7}^{2} } = \sqrt{2 \times 49} = \sqrt{98} \\ 2 \sqrt{3} < 7 \sqrt{3} \\ \sqrt{12} < \sqrt{98} \\ \\ [/tex]
[tex]23 = \sqrt{ {23}^{2} } = \sqrt{529} \\ 4 \sqrt{33} = \sqrt{33 \times {4}^{2} } = \sqrt{33 \times 16} = \sqrt{528} \\ 23 > 4 \sqrt{33} \\ \sqrt{529} > \sqrt{528} [/tex]