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The ×√ Command

Command Summary Command Syntax Calculator Compatibility Token Size
Takes the xth root of an input. A x√ B TI-83/84/+/SE 1 byte

While editing a program, press:
1. MATH to open the math menu
2. 5 or use the arrow keys to select

The ×√ Command

This command takes the xth root of a number. If used on a list, it will return a list with the xth root of each element. Also valid are the forms list×√x and list1×√list2.

:2×√4
        2
:5×√2
        1.148698355

:3×√{1,‾8,27}
        {1 ‾2 3}

:{3,2}×√{8,9}
        {2 3}

Real mode:
:4×√‾1
    <returns error>

a+bi mode:
:4×√‾1
        .7071067812+.7071067812i

See the notes on the ^ command for an explanation on how ×√ behaves depending on whether its input is real or complex.

Optimization

If you want to take the second or third root of a number, use √( or ³√( instead.

:2×√X
can be
:√(X

Error Conditions

  • ERR:NONREAL ANS if you try to take an even root of a negative number or list element in Real mode.
Authors: KG