Question

Simplifique 2√27/√3

Answer 1

Veja duas possibilidades.
$\frac{ 2 \sqrt{27} }{\sqrt{3}} =2\cdot \frac{\sqrt{27}}{\sqrt{3}} =2\cdot \sqrt{ \frac{27}{3} } =2\cdot \sqrt{ 9 } =2\cdot 3=6\\ \\ \\ \\ \frac{ 2 \sqrt{27} }{\sqrt{3}} = \frac{ 2 \sqrt{27} }{\sqrt{3}} \cdot \frac{\sqrt{3} }{\sqrt{3}} = \frac{ 2 \sqrt{27\cdot3} }{\sqrt{3\cdot3}} =\frac{ 2 \sqrt{81} }{\sqrt{9}} = \frac{ 2\cdot 9}{3} = \frac{18}{3} =6$