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Calculati 4✓12+7✓27-4✓48+✓192-2✓363

Răspuns :

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[tex]4 \sqrt{12} + 7 \sqrt{27} - 4 \sqrt{48} + \sqrt{192} - 2 \sqrt{363} [/tex]

[tex] = 4 \times 2 \sqrt{3} + 7 \times 3 \sqrt{3} - 4 \times 4 \sqrt{3} + 8 \sqrt{3} - 2 \times 11 \sqrt{3} [/tex]

[tex] = 8 \sqrt{3} + 21 \sqrt{3} - 16 \sqrt{3} + 8 \sqrt{3} - 22 \sqrt{3} [/tex]

[tex] = 8 \sqrt{3} + 8 \sqrt{3} - 16 \sqrt{3} + 21 \sqrt{3} - 22 \sqrt{3} [/tex]

[tex] = 16 \sqrt{3} - 16 \sqrt{3} - \sqrt{3} [/tex]

[tex] = - \sqrt{3} [/tex]

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