Question

2 - Assinale a alternativa que corresponde a resolução de:

√54+√6-√150+2√24

(a)3√6
(b)3√8
(c)3√9
(d)√18

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Answer 1

$\sqrt{54} + \sqrt{6 } - \sqrt{150} + 2 \sqrt{24} \\ = \sqrt{ {3}^{2} \times 6 } + \sqrt{6} - \sqrt{ {5}^{2} \times 6 } + 2 \sqrt{ {2}^{2} \times 6 } \\ = 3 \sqrt{6} + \sqrt{6} - 5 \sqrt{6} + 2 \times 2 \sqrt{6} \\ = 3 \sqrt{6} + \sqrt{6} - 5 \sqrt{6} + 4 \sqrt{6} \\ = (3 + 1 - 5 + 4) \sqrt{6} \\ = 3 \sqrt{6}$

Resposta: Alternativa A