Question

$\sqrt{3} - 2 \sqrt{27} + \sqrt{75 }$
a)
$7 \sqrt{3} + 3$

b)
$6 \sqrt{3} + 3 \sqrt{3}$
c)
$5 \sqrt{3} + 27$
​

Answer 1

Resposta:

Oie!!!

Explicação passo-a-passo:

Vamos lá!

$\sqrt{3} -2\sqrt{27} +\sqrt{75} =\\\\\sqrt{3} -2\sqrt{3^2 .3} +\sqrt{3.5^2}= \\\\\sqrt{3} -2.3\sqrt{3} +5\sqrt{3} =\\\\\sqrt{3} -6\sqrt{3} +5\sqrt{3} =\\\\\sqrt{3} -\sqrt{3} =\boxed{0}$

De outra forma:

$\sqrt{3} -2\sqrt{27} +\sqrt{75} =\\\\\sqrt{3} -2\sqrt{3^2 .3} +\sqrt{3.5^2}= \\\\\sqrt{3} -2.3\sqrt{3} +5\sqrt{3} =\\\\(1+5-6)\sqrt{3} =\\\\0\sqrt{3} =\boxed{0}$

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