Question

20NPONTOS
gente me ajuda por favor, tô com dúvidas nessa questão!!!
$4 \sqrt{27} \times 2 \sqrt{15} \times 3 \sqrt{6}$
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Answer 1

4√27 * 2√15 *√6

= 8√(27*90)

= 8√(3*9*9*10)

= 72√30

Answer 2

Resposta:

$216\sqrt{30}$

Explicação passo-a-passo:

$4\sqrt{27}.2\sqrt{15}.3\sqrt{6}$

Fatorando o 27 → $27=3^{3}=3^{2}.3$

$4\sqrt{3^{2}.3}.2\sqrt{15}.3\sqrt{6}$

$4.3\sqrt{3}.2\sqrt{15}.3\sqrt{6}$

$12\sqrt{3}.2\sqrt{15}.3\sqrt{6}$

$(12.2\sqrt{3.15}.3\sqrt{6}$

$24\sqrt{45}.3\sqrt{6}$

Fatorando o 45 → $45=3^{2}.5$

$24\sqrt{3^{2}.5}.3\sqrt{6}$

$24.3\sqrt{5}.3\sqrt{6}$

$72\sqrt{5}.3\sqrt{6}$

$72.3\sqrt{5.6}$

$216\sqrt{30}$