Question

4) Simplificando-se 2√3 + 2√12 – 2√75 obtém-se:



a) 0


b) – 2√3


c) – 4√3


d) – 6√3​

Answer 1

Resposta:

C) = - 4√3

Explicação passo-a-passo:

4) Simplificando-se

= 2√3 + 2√12 – 2√75

= 2√3 + 2√4.√3 - 2√25.√3

= 2√3 + 2.2.√3 - 2.5.√3

= 2√3 + 4√3 - 10√3

= 6√3 - 10√3

= - 4√3

R.: C)

Answer 2

$\boxed{\begin{array}{l}\begin{array} {c|l} \sf12&\sf2\\\sf6&\sf2\\\sf3&\sf3\\\sf1\end{array} \implies\tt 12=2^2\cdot3\\\\\\\begin{array} {c|l} \sf75&\sf3\\\sf25&\sf5\\\sf5&\sf5\\\sf1\end{array}\implies\tt 75=3\cdot5^2\\\sf2\sqrt{3}+2\sqrt{12}-2\sqrt{75}\\\sf2\sqrt{3}+2\cdot\sqrt{2^2\cdot3}-2\sqrt{3\cdot5^2}\\\sf2\sqrt{3}+4\sqrt{3}-10\sqrt{3}=-4\sqrt{3}\end{array}}$