How to Type in A Cube Root in The Calculator

Calculating cube roots is essential in mathematics, engineering, and science. This guide explains how to properly input cube roots in different types of calculators using both manual methods and keyboard shortcuts.

Keyboard Shortcuts

Many modern calculators support keyboard shortcuts for entering cube roots. These methods vary slightly depending on the calculator type:

General Keyboard Methods

Type the radicand (the number under the root) first
Press the ^ key for exponentiation
Type 1/3 for the cube root exponent
Example: To calculate ∛8, type 8^(1/3)

Scientific Calculator Shortcuts

On scientific calculators, you can often use:

Press the √x button for square root, then press 2nd and √x again for cube root
Some models use y√x where you enter 3 for the cube root

Graphing Calculator Shortcuts

Graphing calculators typically use:

Press MATH then select F for cube root
Enter the radicand and press ENTER

Manual Entry Methods

If keyboard shortcuts aren't available, you can manually enter cube roots using these methods:

Step-by-Step Manual Entry

Locate the exponentiation or root function button
Enter the radicand (the number under the root)
Press the exponentiation button
Enter 1/3 for the cube root exponent
Press equals to calculate

Example Calculation

To calculate ∛27:

Press 2 then 7
Press the exponentiation button (often ^ or y^x)
Press 1, then /, then 3
Press = to get the result: 3

Scientific Calculators

Scientific calculators typically have dedicated cube root functions:

Common Scientific Calculator Models

Texas Instruments TI-30X IIS: Uses y√x with 3 entered first
Casio fx-991ES: Has a dedicated ³√x button
HP 12C: Uses the y√x function with 3 entered

Using the y√x Function

For calculators with y√x:

Enter the radicand first
Press the y√x function
Enter 3 for the cube root
Press equals to calculate

Graphing Calculators

Graphing calculators like the TI-84 offer multiple ways to input cube roots:

TI-84 Cube Root Methods

Using the MATH menu: Press MATH then select F:³√
Using exponentiation: Enter the number then press ^ and enter 1/3
Using the catalog: Access cube( from the catalog

Example on TI-84

To calculate ∛64:

Press MATH then select F:³√
Enter 64
Press ENTER to get the result: 4

Common Mistakes

Avoid these common errors when entering cube roots:

Typical Errors

Forgetting to enter the radicand first
Using the wrong exponent (e.g., 1/2 for square root instead of 1/3)
Not pressing equals after entering all components
Confusing cube root with square root functions

Verification Tips

To ensure accuracy:

Double-check the radicand before pressing equals
Use the calculator's memory functions to verify results
Compare with known cube roots (e.g., ∛27 = 3, ∛64 = 4)

FAQ

Can I use the cube root function on all calculators?: No, basic calculators typically don't have cube root functions. You'll need a scientific or graphing calculator for this operation.
What if my calculator doesn't have a cube root button?: You can use exponentiation with 1/3 as the exponent (number^(1/3)) to calculate cube roots on most calculators.
How do I calculate the cube root of a negative number?: Most calculators will show an error for negative cube roots. Cube roots of negative numbers are complex numbers and require advanced mathematical operations.
Why does my calculator show a different result than expected?: Check your entry order and ensure you're using the correct exponent (1/3). Also verify that you've pressed equals after completing the entry.
Can I use the cube root function in programming languages?: Yes, most programming languages have a cube root function. In Python, you can use math.pow(number, 1/3) or number**(1/3).