Xfa ayuda con este ejercicio : si x² = 1 / ⁴√2 ; entonces : E = (x ^ 1 / 4) + (x ^ 1 / 2) es : a) 2 ; b)4 ; c) - 2 ; d) - 6 e)6?

Xfa ayuda con este ejercicio : si x² = 1 / ⁴√2 ; entonces : E = (x ^ 1 / 4) + (x ^ 1 / 2) es : a) 2 ; b)4 ; c) - 2 ; d) - 6 e)6 Hola!

Primero debemos hallar x, entonces <img src="https://tex.z-dn.net/?f=x%5E2%3D%20%5Cdfrac%7B1%7D%7B%5Csqrt%5B4%5D%7B2%7D%7D%5Cqquad%20primero%20%5C%20racionalizamos%20%5C%20la%20%5C%20fraccion%5C%5C%5C%5C%5C%5C%20%5Cdfrac%7B1%7D%7B%5Csqrt%5B4%5D%7B2%7D%7D%2A%5Cdfrac%7B%5Csqrt%5B4%5D%7B2%5E3%7D%7D%7B%5Csqrt%5B4%5D%7B2%5E3%7D%7D%3D%5Cdfrac%7B%5Csqrt%5B4%5D%7B2%5E3%7D%20%7D%7B%5Csqrt%5B4%5D%7B2%5E4%7D%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5Csqrt%5B4%5D%7B2%5E3%7D%5C%5C%5C%5C%5C%5Cx%5E2%3D%5Cfrac%7B1%7D%7B2%7D.%5Csqrt%5B4%5D%7B2%5E3%7D%5Cqquad%5Cto%5Cqquad%20x%3D%20%5Csqrt%7B%28%5Cfrac%7B1%7D%7B2%7D%5Csqrt%5B4%5D%7B2%5E3%7D%29%7D%5C%20racionalizamos%20%5C%20y%20%5C%20resolvemos%20%5C%5C%5C%5C%5C%5C%5C%20%5Cdfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5Csqrt%7B2%7D%3D%5Cdfrac%7B1%7D%7B2%7D%282%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%29%5Cqquad%5Cqquad%20%5Csqrt%7B%5Csqrt%5B4%5D%7B2%5E3%7D%7D%3D%5Csqrt%5B6%5D%7B2%5E3%7D%3D%5Csqrt%7B2%7D%3D2%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D" /><img src="https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B1%7D%7B2%7D2%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D2%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5Cto%20x%3D%5Cdfrac%7B1%7D%7B2%7D2%5E%7B%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B1%7D%7B2%7D%7D%5Cto%20x%3D%5Cdfrac%7B1%7D%7B2%7D.2%5E1%5Cto%20x%3D%5Cdfrac%7B1%7D%7B2%7D.2%5Cto%20%5Cboxed%7Bx%3D1%7D%5C%5C%20%5C%5C%20%5C%5C%20E%3Dx%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%2Bx%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5C%5C%20%5C%5C%20E%3D1%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%2B1%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5C%5C%20%5C%5C%20E%3D1%2B1%5Cquad%5Cto%5Cquad%5Cboxed%7BE%3D2%7D%20%5C%20Opci%5C%27on%20%5C%20a%29" />

Espero que te sirva, salu2!