Question

Simplificando-se 2√3 + 2√12 – 2√75 obtém-se: a) 0 b) – 2√3 c) – 4√3 d) – 6√3 e) – 8√3

Answer 1

Explicação passo-a-passo:

$\sf A=2\sqrt{3}+2\sqrt{12}-2\sqrt{75}$

• $\sf 2\sqrt{12}=2\cdot2\sqrt{3}=4\sqrt{3}$

• $\sf 2\sqrt{75}=2\cdot5\sqrt{3}=10\sqrt{3}$

$\sf A=2\sqrt{3}+4\sqrt{3}-10\sqrt{3}$

$\sf A=(2+4-10)\sqrt{3}$

$\sf A=-4\sqrt{3}$

Letra C