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In Maple, how can I plot the cube root function or get the real cube root of a negative number?

Maple sometimes only gives complex roots, and only plots x^(1/3) for positive values of x. Maple is general and consistent, so it sometimes interprets variables as complex numbers. For example, enter:

> simplify( (-8)^(1/3) );

The return is:

1 + sqrt(3)*I.

To return real roots from Maple, you must use the function called surd (i.e., the typographical name of the symbol used to denote nth roots, which is also sometimes called a radical).

If one exists, surd(x, n) computes the real nth root of the real-valued expression x. It will also plot for all values of x (if a real nth root exists). The command surd(-8,3); will return (-8)^(1/3) . To produce the expected cube root graph, enter:

> plot(surd(x,3), x = -5 .. 5);

For more about statistical and mathematical software, email the UITS Stat/Math Center, visit the center's web page, or phone 812-855-4724 (IUB) or 317-278-4740 (IUPUI). The center is located in Bloomington at 410 N. Park Avenue, and is open for consultation by appointment Monday-Friday 9am-5pm.

This is document afat in domain all.
Last modified on April 06, 2011.

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