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One wants to approximate the real value of $\sqrt[3]{x}$ when $x$ is rational number. One want to approximate to two decimal digits.

Is there any way to do this quickly?

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Did you study Taylor polynomial? en.wikipedia.org/wiki/… –  Dennis Gulko Oct 14 '12 at 6:05
Got it. thanks. –  W12 Oct 14 '12 at 6:11
Another way is to use Newton's method. –  Robert Israel Oct 14 '12 at 8:23
Another way is to use a calculator. –  Gerry Myerson Oct 14 '12 at 8:34
Another way is to compute the continued fraction. –  PAD Oct 14 '12 at 8:35

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