Al efectuar.
![\sqrt[4]{ \frac{256}{625} } - \sqrt[3]{ \frac{8}{27} }](https://tex.z-dn.net/?f=+%5Csqrt%5B4%5D%7B+%5Cfrac%7B256%7D%7B625%7D+%7D+-+%5Csqrt%5B3%5D%7B+%5Cfrac%7B8%7D%7B27%7D+%7D+ "\sqrt[4]{ \frac{256}{625} } - \sqrt[3]{ \frac{8}{27} }")
posibles respuestas:
a) 4/15
b) -2/15
c) 7/15
d) 2/15
posibles respuestas:
a) 4/15
b) -2/15
c) 7/15
d) 2/15
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Respuesta:
Alternativa d)
Explicación paso a paso:
Alexis,
Obtenemos las raices de cada radical e efectuamos su diferencia
=![=\sqrt[4]{\frac{4^4}{5^4} } -\sqrt[3]{\frac{2^3}{3^3} } \\ \\ =\frac{4}{5} -\frac{2}{3} \\ \\ =\frac{3x4-5x2}{15} \\ \\ =\frac{12-10}{15} \\ \\ =\frac{2}{15}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B4%5E4%7D%7B5%5E4%7D+%7D+-%5Csqrt%5B3%5D%7B%5Cfrac%7B2%5E3%7D%7B3%5E3%7D+%7D+%5C%5C+%5C%5C+%3D%5Cfrac%7B4%7D%7B5%7D+-%5Cfrac%7B2%7D%7B3%7D+%5C%5C+%5C%5C+%3D%5Cfrac%7B3x4-5x2%7D%7B15%7D+%5C%5C+%5C%5C+%3D%5Cfrac%7B12-10%7D%7B15%7D+%5C%5C+%5C%5C+%3D%5Cfrac%7B2%7D%7B15%7D "=\sqrt[4]{\frac{4^4}{5^4} } -\sqrt[3]{\frac{2^3}{3^3} } \\ \\ =\frac{4}{5} -\frac{2}{3} \\ \\ =\frac{3x4-5x2}{15} \\ \\ =\frac{12-10}{15} \\ \\ =\frac{2}{15}")