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How to Use Cube Root on Graphing Calculator

Reviewed by Calculator Editorial Team

The cube root of a number is a value that, when multiplied by itself three times, gives the original number. Graphing calculators provide a convenient way to compute cube roots without manual calculations. This guide explains how to use the cube root function on a graphing calculator, including step-by-step instructions and examples.

What is Cube Root?

The cube root of a number \( x \) is a number \( y \) such that \( y^3 = x \). For example, the cube root of 27 is 3 because \( 3 \times 3 \times 3 = 27 \). Cube roots are useful in various mathematical and scientific applications, including solving cubic equations and calculating volumes.

Graphing calculators can compute cube roots quickly and accurately. The cube root function is typically represented as \( \sqrt[3]{x} \) or \( x^{1/3} \).

Using Cube Root on Graphing Calculator

Step-by-Step Instructions

  1. Turn on your graphing calculator and clear any existing data by pressing the CLEAR button.
  2. Press the MODE button to ensure the calculator is in the appropriate mode for your needs.
  3. To input a number for which you want to find the cube root, press the number keys. For example, to find the cube root of 27, press 2, 7.
  4. Press the ^ (exponent) button, then press 1, /, 3 to enter the exponent \( 1/3 \).
  5. Press the = button to compute the result. The calculator will display the cube root of the number.

Note: Some graphing calculators may have a dedicated cube root function. Check your calculator's manual for specific instructions.

Cube Root Formula

The cube root of a number \( x \) can be calculated using the formula:

\( \sqrt[3]{x} = x^{1/3} \)

This formula is implemented in the calculator provided on this page. The calculator uses this formula to compute the cube root of any positive real number you input.

Examples

Example 1: Cube Root of 27

To find the cube root of 27:

  1. Input 27 on the calculator.
  2. Press the exponent button and enter \( 1/3 \).
  3. Press the equals button.

The result should be 3, since \( 3 \times 3 \times 3 = 27 \).

Example 2: Cube Root of 64

To find the cube root of 64:

  1. Input 64 on the calculator.
  2. Press the exponent button and enter \( 1/3 \).
  3. Press the equals button.

The result should be 4, since \( 4 \times 4 \times 4 = 64 \).

FAQ

Can I find the cube root of negative numbers on a graphing calculator?

Yes, most graphing calculators can compute the cube root of negative numbers. The result will also be negative. For example, the cube root of -8 is -2 because \( (-2) \times (-2) \times (-2) = -8 \).

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

The cube root of zero is zero, since \( 0 \times 0 \times 0 = 0 \).

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

Press the CLEAR button on your calculator to remove the cube root function and any other calculations from the display.