Question

$\sqrt{2}$÷$\sqrt[3]{5}$

POR FVR ME AJUDEM!!!!

Answer 1

Explicação passo-a-passo:

$M=\dfrac{\sqrt{2}}{\sqrt[3]{5}}$

$M=\dfrac{\sqrt{2}}{\sqrt[3]{5}}\cdot\dfrac{\sqrt[3]{5^2}}{\sqrt[3]{5^2}}$

$M=\dfrac{\sqrt{2}\cdot\sqrt[3]{5^2}}{\sqrt[3]{5\cdot25}}$

$M=\dfrac{\sqrt[6]{2^3}\cdot\sqrt[6]{5^4}}{\sqrt[3]{125}}$

$M=\dfrac{\sqrt[6]{8\cdot625}}{5}$

$M=\dfrac{\sqrt[6]{5000}}{5}$

Answer 2

√2÷∛5 =

$\sqrt[6]{2^{3} }: \sqrt[6]{5^{2} }$ =

$\sqrt[6]{2^{3} : 5^{2} }$ =

$\sqrt[6]{\frac{2^{3} }{5^{2} } }$ =

$\sqrt[6]{\frac{8}{25} }$ =

$\frac{\sqrt[6]{8} }{\sqrt[6]{25} }$ =

$\frac{\sqrt[6]{2^{3} } }{\sqrt[6]{5^{2} } }$ =

$\frac{\sqrt{2} }{\sqrt[3]{5} }$ =

$\frac{\sqrt{2}\sqrt[3]{5^{2} } }{5}$ =

$\frac{\sqrt[6]{2^{3} } \sqrt[6]{5^{4} } }{5}$ =

$\frac{\sqrt[6]{2^{3} x 5^{4} } }{5}$ =

$\frac{\sqrt[6]{5 x 10^{3} } }{5}$ =

$\frac{\sqrt[6]{5 x 1000} }{5}$ =

$\frac{\sqrt[6]{5000} }{5}$