Question

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5) (3(3 - 1)
$( \sqrt{3} + 3)( \sqrt{3} - 1)$
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Answer 1

Respuesta:

$\left(k\cdot \:5\right)\left(3\right)\left(3-1\right)\left(\sqrt{3+3}\right)\left(\sqrt{3-1}\right)\\\\=k\cdot \:5\cdot \:3\left(3-1\right)\sqrt{3+3}\sqrt{3-1}\\\\=5\cdot \:3\cdot \:2\sqrt{3+3}\sqrt{3-1}k\\\\=5\cdot \:3\cdot \:2\sqrt{6}\sqrt{3-1}k\\\\=5\cdot \:3\cdot \:2\sqrt{6}\sqrt{2}k\\\\=k\cdot \:5\cdot \:3\cdot \:2\sqrt{2\cdot \:3}\sqrt{2}\\\\=k\cdot \:5\cdot \:3\cdot \:2\sqrt{2}\sqrt{3}\sqrt{2}\\\\=5\cdot \:3\cdot \:2\cdot \:2\sqrt{3}k\\\\=60\sqrt{3}k$