qual é raiz quarta de 1/25
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Olá!
![\sqrt[4]{\dfrac{1}{25}}=\dfrac{1}{25^{\frac{1}{4} }} = \dfrac{1}{(25^{\frac{1}{2}})^{\frac{1}{2}}}=\dfrac{1}{(\sqrt{25})^{\frac{1}{2}} }
= \dfrac{1}{5^{\frac{1}{2}}} = \dfrac{1}{\sqrt{5}} = \dfrac{\sqrt{5}}{5}.](https://tex.z-dn.net/?f=+%5Csqrt%5B4%5D%7B%5Cdfrac%7B1%7D%7B25%7D%7D%3D%5Cdfrac%7B1%7D%7B25%5E%7B%5Cfrac%7B1%7D%7B4%7D+%7D%7D++%3D+%5Cdfrac%7B1%7D%7B%2825%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%3D%5Cdfrac%7B1%7D%7B%28%5Csqrt%7B25%7D%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D+%7D%0A%3D+%5Cdfrac%7B1%7D%7B5%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D+%3D+%5Cdfrac%7B1%7D%7B%5Csqrt%7B5%7D%7D+%3D+%5Cdfrac%7B%5Csqrt%7B5%7D%7D%7B5%7D. "\sqrt[4]{\dfrac{1}{25}}=\dfrac{1}{25^{\frac{1}{4} }} = \dfrac{1}{(25^{\frac{1}{2}})^{\frac{1}{2}}}=\dfrac{1}{(\sqrt{25})^{\frac{1}{2}} }
= \dfrac{1}{5^{\frac{1}{2}}} = \dfrac{1}{\sqrt{5}} = \dfrac{\sqrt{5}}{5}.")
Bons estudos!
Bons estudos!
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