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How to Put Cubed Root in Calculator Ti-84 Plus

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 using the cubed root function on your TI-84 Plus calculator.

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. The TI-84 Plus calculator can compute cube roots using its built-in functions.

This guide will cover:

  • How to access the cube root function on your TI-84 Plus
  • Step-by-step instructions for calculating cube roots
  • Worked examples with different numbers
  • Common issues and troubleshooting tips

Step-by-Step Instructions

Step 1: Access the Math Menu

To begin, press the [MATH] key on your TI-84 Plus calculator. This will open the Math menu, which contains various mathematical functions.

Step 2: Select the Cube Root Function

Scroll down the Math menu until you see the "Math" option. Press the right arrow key to expand the Math submenu. You will see several mathematical functions, including the cube root function.

The cube root function is typically labeled as "³√" or "cube root". Use the up and down arrow keys to navigate to this function and press [ENTER] to select it.

Step 3: Enter the Number

After selecting the cube root function, you will see "³√(" displayed on the screen. Enter the number for which you want to calculate the cube root. For example, if you want to find the cube root of 27, type "27".

Step 4: Close the Parentheses and Calculate

Press the right parenthesis key ")". Your calculator should now display "³√(27)". Press [ENTER] to calculate the cube root.

Step 5: View the Result

The calculator will display the cube root of the number you entered. For the example of 27, the result will be 3, since 3 × 3 × 3 = 27.

Note: The TI-84 Plus calculator can handle both positive and negative numbers for cube roots. The result will be negative if the original number is negative.

Worked Examples

Let's look at a few examples to illustrate how to use the cube root function on your TI-84 Plus calculator.

Example 1: Positive Number

Find the cube root of 64.

  1. Press [MATH].
  2. Scroll to "Math" and press the right arrow key.
  3. Select "³√".
  4. Type "64".
  5. Press ")".
  6. Press [ENTER].

The calculator will display 4, since 4 × 4 × 4 = 64.

Example 2: Negative Number

Find the cube root of -8.

  1. Press [MATH].
  2. Scroll to "Math" and press the right arrow key.
  3. Select "³√".
  4. Type "-8".
  5. Press ")".
  6. Press [ENTER].

The calculator will display -2, since (-2) × (-2) × (-2) = -8.

Example 3: Decimal Number

Find the cube root of 0.125.

  1. Press [MATH].
  2. Scroll to "Math" and press the right arrow key.
  3. Select "³√".
  4. Type "0.125".
  5. Press ")".
  6. Press [ENTER].

The calculator will display 0.5, since 0.5 × 0.5 × 0.5 = 0.125.

Troubleshooting

If you encounter issues while trying to calculate cube roots on your TI-84 Plus calculator, here are some common problems and solutions:

Calculator Not Responding

If your calculator is not responding, try turning it off and on again. If the problem persists, check the batteries and ensure they are properly inserted.

Incorrect Function Selected

Double-check that you have selected the cube root function (³√) from the Math menu. If you accidentally selected a different function, press [CLEAR] to reset the calculator and start over.

Syntax Error

If you see a syntax error, ensure that you have entered the number correctly and that you have closed the parentheses. Press [CLEAR] and try again.

Result Not Displayed

If the result is not displayed, press [ENTER] again. If the problem continues, try turning off and on your calculator.

FAQ

Can I calculate cube roots of complex numbers on the TI-84 Plus?

The TI-84 Plus calculator does not support complex numbers for cube roots. It can only calculate real numbers.

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

Press the [CLEAR] key to reset the calculator and remove the cube root function from the screen.

What should I do if the cube root function is not available on my TI-84 Plus?

Ensure that you are using the correct version of the operating system. If the function is still not available, contact Texas Instruments support for assistance.

Can I use the cube root function in equations or expressions?

Yes, you can use the cube root function in equations or expressions. Simply select the function, enter the number, and use it in your calculation.