# TI-BASIC:Cube Root

From Learn @ Cemetech

Jump to navigationJump to search**Command Summary**

Take the cube root of a number.

**Command Syntax**

³√(*input*)

**Menu Location**

While editing a program, press:

- MATH to open the Math menu
- 4 or use the arrow keys to select.

TI-83/84/+/SE

1 byte

Takes the cube root of a positive or negative number. It works exactly the same as 3^{×}√ or ^(1/3) but is smaller and uses an ending parenthesis. If used on a list, it will return a list with the cube root of each element.

³√(8) 2 ³√(2) 1.25992105 ³√({1,‾8,27}) {1 ‾2 3}

For complex numbers, the [*http://mathworld.wolfram.com/CubeRoot.html principal cube root] is returned, which may be different from the cube root you'd get for the same real number:

³√(-8) -2 ³√(-8+0i) 1+1.732050808i

# Optimization

Never raise something to the one-third power explicitly; use this command instead.

:X^(1/3)→X can be :³√(X→X