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Ti 84 Plus Calculator Cube Root

Reviewed by Calculator Editorial Team

The TI-84 Plus calculator is a powerful tool for students and professionals in mathematics, science, and engineering. One of its many useful functions is the ability to calculate cube roots. This guide will walk you through the process of finding cube roots using your TI-84 Plus calculator, explain the underlying formula, and provide practical examples.

How to Calculate Cube Roots on TI-84 Plus

Calculating cube roots on your TI-84 Plus calculator is straightforward. Here's a step-by-step guide:

  1. Turn on your TI-84 Plus calculator and press the MODE button to ensure it's in the correct mode for your needs.
  2. Press the 2ND button, then the x^(-1) button to access the cube root function. This will display x^(1/3) on the screen.
  3. Enter the number for which you want to find the cube root. For example, if you want to find the cube root of 27, type 27.
  4. Press the = button to calculate the result. The calculator will display the cube root of the number you entered.

Note

The TI-84 Plus calculator will display the cube root in decimal form. If you need an exact fractional form, you may need to perform additional calculations or use a different method.

Cube Root Formula

The cube root of a number \( x \) is a value \( y \) such that \( y^3 = x \). Mathematically, this can be expressed as:

Formula

\( y = \sqrt[3]{x} \)

Where:

  • \( y \) is the cube root of \( x \)
  • \( x \) is the number for which you want to find the cube root

The cube root function is the inverse of the cubic function. It is a strictly increasing function, meaning that as \( x \) increases, \( y \) also increases. The cube root of a negative number is negative, and the cube root of zero is zero.

Worked Examples

Let's look at a few examples to illustrate how to calculate cube roots using the TI-84 Plus calculator.

Example 1: Cube Root of 27

To find the cube root of 27:

  1. Press 2ND then x^(-1) to access the cube root function.
  2. Enter 27.
  3. Press =.

The calculator will display 3, which is the cube root of 27.

Example 2: Cube Root of 64

To find the cube root of 64:

  1. Press 2ND then x^(-1) to access the cube root function.
  2. Enter 64.
  3. Press =.

The calculator will display 4, which is the cube root of 64.

Example 3: Cube Root of 0.125

To find the cube root of 0.125:

  1. Press 2ND then x^(-1) to access the cube root function.
  2. Enter 0.125.
  3. Press =.

The calculator will display 0.5, which is the cube root of 0.125.

FAQ

How do I find the cube root of a negative number on my TI-84 Plus?

To find the cube root of a negative number on your TI-84 Plus, follow the same steps as for a positive number. The calculator will display the negative cube root. For example, the cube root of -8 is -2.

Can I find the cube root of a fraction on my TI-84 Plus?

Yes, you can find the cube root of a fraction on your TI-84 Plus. Simply enter the fraction in the format numerator/denominator and press the cube root button. The calculator will display the cube root of the fraction.

What if I enter a number that doesn't have a perfect cube root?

If you enter a number that doesn't have a perfect cube root, the TI-84 Plus will display the cube root in decimal form. For example, the cube root of 10 is approximately 2.15443.

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

To clear the cube root function from the calculator, press the CLEAR button. This will remove the cube root function and any other entries from the calculator's display.