Răspuns:
[tex]8 \sqrt{216} = 8 \sqrt{ {2}^{3} \times {3}^{3} } = 8 \times 6 \sqrt{6} = 48 \sqrt{6} [/tex]
[tex]3 \sqrt{96} = 3 \sqrt{ {2}^{5} \times 3} = 3 \times 4 \sqrt{6} = 12 \sqrt{6} [/tex]
[tex] \sqrt{54} = \sqrt{2 \times {3}^{3} } = 3 \sqrt{6} [/tex]
[tex]2 \sqrt{150} = 2 \sqrt{2 \times 3 \times {5}^{2} } = 2 \times 5 \sqrt{6} = 10 \sqrt{6} [/tex]
[tex] \sqrt{600} = \sqrt{ {2}^{3} \times 3 \times {5}^{2} } = 10 \sqrt{6} [/tex]
[tex]48 \sqrt{6} - 12 \sqrt{6} + 3 \sqrt{6} - 10 \sqrt{6} + 10 \sqrt{6} = 39 \sqrt{6} [/tex]
