Question

faça o cálculo e prove que: ³√4÷⁵√8=¹⁵√2​

Answer 1

Resposta:

Explicação passo a passo:

$(\sqrt[3]{4}):(\sqrt[5]{8})=?$

$mmc(3;5)=15$

$\sqrt[3]{4}=\sqrt[15]{4^{5} }$

$\sqrt[5]{8}=\sqrt[15]{8^{3} }$

$(\sqrt[3]{4}):(\sqrt[5]{8})=$

$\sqrt[15]{4^{5} }:\sqrt[15]{8^{3} }$

$\sqrt[15]{(2^{2}) ^{5} }:\sqrt[15]{(2^{3}) ^{3} }=$

$\sqrt[15]{2^{10} }:\sqrt[15]{2^{9} }=$

 $\sqrt[15]{2^{10}:2^{9} } =$

 $\sqrt[15]{2^{(10-9)} } =$

 $\sqrt[15]{2^{1} }=$

  $\sqrt[15]{2}$

$Pronto...$