How to Type Cube Root on Graphing Calculator

Graphing calculators are powerful tools for solving mathematical problems, including finding cube roots. This guide explains how to properly enter cube root expressions on popular graphing calculators like TI-84, Casio, and HP.

How to Type Cube Root on Graphing Calculator

Typing cube roots on graphing calculators requires understanding the specific syntax for each calculator model. Here's a step-by-step guide for common graphing calculators:

TI-84 Series

Press the MATH key
Scroll down to Math and press ENTER
Select 3: cube( and press ENTER
Enter the number or expression inside the parentheses
Close the parentheses with )
Press ENTER to see the result

Example: To find the cube root of 27, type cube(27) and press ENTER. The result will be 3.

Casio fx-CG50

Press the SHIFT key
Press the √x key (this becomes the cube root function)
Enter the number or expression
Press = to see the result

HP Prime

Press the MATH key
Scroll down to Cube Root and press ENTER
Enter the number or expression
Press ENTER to see the result

The cube root of a number x is the value that, when multiplied by itself three times, gives x. Mathematically, this is represented as:

∛x = y where y³ = x

Common Mistakes When Typing Cube Roots

When entering cube roots on graphing calculators, several common mistakes can occur:

Incorrect function selection: Choosing the square root function instead of cube root
Missing parentheses: Forgetting to close parentheses after the number
Syntax errors: Typing the function name incorrectly (e.g., "cuberoot" instead of "cube")
Negative numbers: Trying to find cube roots of negative numbers (which are real numbers)

Remember that cube roots of negative numbers are valid. For example, the cube root of -8 is -2 because (-2) × (-2) × (-2) = -8.

Examples of Cube Root Calculations

Here are some examples of cube root calculations you can perform on your graphing calculator:

Expression	Result	Verification
∛27	3	3 × 3 × 3 = 27
∛-8	-2	-2 × -2 × -2 = -8
∛1000	10	10 × 10 × 10 = 1000
∛0.001	0.1	0.1 × 0.1 × 0.1 = 0.001

These examples demonstrate how cube roots work and how to verify the results by cubing the root value.

FAQ

Can I find cube roots of fractions on my graphing calculator?

Yes, you can find cube roots of fractions. Simply enter the fraction in the calculator and use the cube root function as described in the guide. For example, to find the cube root of 1/8, type cube(1/8) on a TI-84 and press ENTER.

What happens if I try to find the cube root of zero?

The cube root of zero is zero. This is because 0 × 0 × 0 = 0. On your graphing calculator, typing cube(0) will return 0.

Can I find cube roots of numbers with exponents?

Yes, you can find cube roots of numbers with exponents. First calculate the exponent, then find the cube root of the result. For example, to find the cube root of 2³, first calculate 2³ = 8, then find cube(8) = 2.