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How to Put Cube Root in Graphing Calculator

Reviewed by Calculator Editorial Team

Calculating cube roots in graphing calculators is essential for solving advanced math problems. This guide explains how to input and compute cube roots using different methods, with a built-in calculator for quick reference.

Introduction

The cube root of a number x is a value that, when multiplied by itself three times, gives the original number. In mathematical terms, if y is the cube root of x, then y³ = x.

Graphing calculators provide multiple ways to compute cube roots, including direct input and using the power function. This guide covers both methods with clear examples.

Basic Method: Direct Input

Most graphing calculators allow you to directly input cube roots using the following steps:

  1. Turn on your graphing calculator and clear any existing data.
  2. Press the "MATH" key to access the math functions.
  3. Scroll down to the "Math" or "Number" menu and select "Cube Root" (the exact menu may vary by calculator model).
  4. Enter the number for which you want to find the cube root.
  5. Press the "ENTER" key to compute the result.

Note

Some calculators may require you to use the "x^(1/3)" notation instead of a dedicated cube root function. If your calculator doesn't have a cube root button, you can use this alternative method.

Advanced Method: Using Power Function

If your calculator doesn't have a dedicated cube root function, you can use the power function to calculate cube roots:

  1. Press the "x^(1/3)" key sequence (this may vary by calculator model).
  2. Enter the number for which you want to find the cube root.
  3. Press the "ENTER" key to compute the result.

Formula

The cube root of a number x can be calculated using the power function as: y = x^(1/3)

Example Calculation

Let's find the cube root of 27 using both methods:

Using Direct Input

  1. Press "MATH" → "Cube Root" → Enter "27" → "ENTER"
  2. The calculator displays "3" as the result.

Using Power Function

  1. Press "x^(1/3)" → Enter "27" → "ENTER"
  2. The calculator displays "3" as the result.

Both methods yield the same result, confirming that the cube root of 27 is 3.

FAQ

What is the difference between square root and cube root?

A square root of a number x is a value y such that y² = x. A cube root is a value y such that y³ = x. Cube roots are used for solving cubic equations and volume calculations.

Can I find cube roots of negative numbers?

Yes, cube roots of negative numbers are defined. For example, the cube root of -8 is -2 because (-2)³ = -8.

How do I clear the cube root function from my calculator?

Press the "CLEAR" or "AC" button on your calculator to reset it. This will remove any cube root calculations from the display.