The ³√( Command

Command Summary

Take the cube root of a number.

Command Syntax

³√(input)

Menu Location

While editing a program, press:

1. MATH to open the math menu
2. 4 or use the arrow keys to select.

Calculator Compatibility

TI-83/84/+/SE

Token Size

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 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

Related Commands

• ^
• ×√
• √(

.