Question

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

DA UMA FORCINHA AE GLR

Answer 1

Simplificando as raízes, temos:

$2 \sqrt{3} +2\sqrt{12}-2\sqrt{75} = 2 \sqrt{3} +2\sqrt{4*3}-2\sqrt{25*3} = 2 \sqrt{3} +2\sqrt{4}\sqrt{3}-2\sqrt{25}\sqrt{3} = 2 \sqrt{3} +2*2\sqrt{3}-2*5\sqrt{3} = 2 \sqrt{3} +4\sqrt{3}-10\sqrt{3} = -4\sqrt{3}$