Fractional power approximation

Find to five places of decimals the value of $(1250)^{\frac{1}{3}}$ .

~7 minAnswer checked instantlyBinomial theoremApproximation

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIV. Binomial Theorem: Any Index, Examples XIV.b, No. 24

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).