Question

Simplificando-se 2v3 + 2v12 - 2v75, obtém-se?

Answer 1

$2 \sqrt{3} + 2 \sqrt{12} - 2 \sqrt{75}$

Fatorar os valores dentro da raiz, quando possível.

$2 \sqrt{3} + 2 \sqrt{2^2 * 3} - 2 \sqrt{3 * 5^2} \\ \\ \\ 2 \sqrt{3} + 2* 2 \sqrt{3} - 2 * 5 \sqrt{3} \\ \\ \\ 2 \sqrt{3} + 4 \sqrt{3} - 10 \sqrt{3} \\ \\ \\ 2 \sqrt{3} -6 \sqrt{3} \\ \\ \\ => -4 \sqrt{3}$
 

Answer 2

.
$2 \sqrt{3} +2 \sqrt{12} -2 \sqrt{75} = \\ \\ 2 \sqrt{3} +2 \sqrt{2^2.3} -2 \sqrt{3.5^2} = \\ \\ 2 \sqrt{3} +2.2 \sqrt{3} -2.5 \sqrt{3} = \\ \\ 2 \sqrt{3} +4 \sqrt{3} -10 \sqrt{3} = \\ \\ 6 \sqrt{3} -10 \sqrt{3} = \\ \\ -4 \sqrt{3}$