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= 8·6√6 - 3·4√6 + 3√6 - 2·5√6 + 10√6 =

= 48√6-12√6+3√6-10√6+10√6=

= 48√6-12√6+3√6 = 39√6

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]