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How to Put Cubed Root in Calculator Ti-84 Plus Ce

Reviewed by Calculator Editorial Team

Calculating cubed roots on the TI-84 Plus CE calculator is straightforward once you know the correct method. This guide will walk you through the process step-by-step, including how to enter the calculation, interpret the result, and troubleshoot common issues.

How to Calculate Cubed Roots on TI-84 Plus CE

The TI-84 Plus CE calculator can compute cubed roots using its built-in exponentiation function. The cubed root of a number x is equivalent to x raised to the power of 1/3. Here's how to perform this calculation:

Formula: ∛x = x^(1/3)

To calculate a cubed root on your TI-84 Plus CE, you'll need to use the exponentiation key (^) and the fraction feature. Follow these steps carefully to ensure accurate results.

Step-by-Step Instructions

  1. Enter the number

    Press the number you want to find the cubed root of. For example, if you want to find ∛8, press 8.

  2. Access the exponentiation function

    Press the [MATH] key, then move the cursor to the PRB menu using the right arrow key. Select option 1: exponentiation (^).

  3. Enter the fraction for the exponent

    Press the [2ND] key, then the [/] key to access the fraction template. Enter 1 in the numerator and 3 in the denominator.

  4. Calculate the result

    Press the [ENTER] key to compute the result. The calculator will display the cubed root of your original number.

Tip: If you frequently need to calculate cubed roots, consider creating a custom program or storing the fraction 1/3 in memory for quick access.

Formula Used

The mathematical formula for calculating a cubed root is:

∛x = x^(1/3)

Where x is the number you want to find the cubed root of.

This formula works because any number raised to the power of 1/3 is equivalent to taking the cube root of that number. For example, 8^(1/3) = 2 because 2 × 2 × 2 = 8.

Worked Example

Let's calculate ∛27 using the TI-84 Plus CE:

  1. Press 2, then 7 to enter 27.
  2. Press [MATH], move to PRB, and select option 1 (^).
  3. Press [2ND] then [/] to enter the fraction template.
  4. Enter 1 in the numerator and 3 in the denominator.
  5. Press [ENTER] to see the result: 3.

The calculator shows 3, which is correct because 3 × 3 × 3 = 27.

Note: The TI-84 Plus CE may display results in scientific notation for very large or very small numbers. You can adjust the display format using the MODE settings if needed.

FAQ

Can I calculate cube roots of negative numbers on the TI-84 Plus CE?
Yes, the TI-84 Plus CE can calculate cube roots of negative numbers. For example, ∛(-8) = -2. The calculator will display the negative result.
What if I get an error when calculating cube roots?
Common errors include syntax errors or domain errors. Double-check that you've entered the fraction correctly (1/3) and that you're using the exponentiation function properly. Make sure your calculator is in the correct mode (radian or degree doesn't affect cube roots).
Is there a simpler way to calculate cube roots on the TI-84 Plus CE?
You can create a custom program or store the fraction 1/3 in memory to make repeated cube root calculations faster. This avoids having to enter the fraction each time.