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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?… – 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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