Question

QUESTÃO 03
Simplificando v3.13.V3, obtém-se:
A) 3
B) 3V3
C) 3
D) 3'V3
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Answer 1

Resposta:

Explicação passo-a-passo:

$\sqrt{3}*\sqrt[3]{3}*\sqrt[4]{3} =\\\\3^{\frac{1}{2}}*3^{\frac{1}{3}}*3^{\frac{1}{4}}=\\\\3^{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}}=\\\\OBS.:\frac{1}{2}+\frac{1}{3}+\frac{1}{4}=\frac{13}{12}\\\\3^{\frac{13}{12}}=\\\\\sqrt[12]{3^{13}}=\\\\3\sqrt[12]{3}$