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Solve for x:
[Sixth root of 27]+[cube root of x] = 6/(3-[square root of 3]

  • math -

    27^(1/6) + x^(1/3) = 6/(3 - √3)

    (3^3)^(1/6) + x^(1/3) = 6/(3 - √3)[(3+√3)/(3+√3)]
    3^(1/2) + x^(1/3) = 3 + 2√3
    x^(1/3) = 3 + √3)

    x = (3+√3)^3

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