How to Put Cubed Root in Calculator Ti-83 Plus

Calculating cubed roots on your TI-83 Plus calculator is straightforward once you know the correct method. This guide will walk you through the process step-by-step, explain the formula, and provide practical examples to help you master this essential mathematical operation.

How to Calculate Cubed Roots on TI-83 Plus

The TI-83 Plus calculator doesn't have a dedicated cubed root button, but you can calculate cube roots using the exponent function. Here's how to do it:

Press the 2ND key
Press the ^ key (this accesses the exponent function)
Enter the number you want to find the cube root of
Press the , key (this is the comma key)
Enter 1/3 (this represents the exponent of 1/3)
Press the = key to get the result

Remember: The cube root of a number x is a number y such that y³ = x. For example, the cube root of 27 is 3 because 3 × 3 × 3 = 27.

Step-by-Step Guide to Calculating Cube Roots

Step 1: Access the Exponent Function

Press the 2ND key followed by the ^ key. This will display "x^" on your screen, indicating you're using the exponent function.

Step 2: Enter the Number

Type the number for which you want to find the cube root. For example, if you want to find the cube root of 64, type 64.

Step 3: Add the Comma

Press the comma key (,) to separate the base number from the exponent.

Step 4: Enter the Exponent

Type 1/3 to indicate you want to raise the number to the power of 1/3, which is equivalent to finding the cube root.

Step 5: Calculate the Result

Press the equals (=) key to perform the calculation. The calculator will display the cube root of your number.

Formula: y = x^(1/3)

Where x is the number you want to find the cube root of, and y is the cube root.

The Cubed Root Formula

The mathematical formula for finding the cube root of a number x is:

y = x^(1/3)

This formula states that the cube root of x (y) is equal to x raised to the power of 1/3. This is because multiplying a number by itself three times (x × x × x) is equivalent to raising it to the power of 3 (x³). Therefore, to find the cube root, we raise the number to the power of 1/3.

Worked Example

Let's find the cube root of 125 using the TI-83 Plus calculator.

Press 2ND then ^ to access the exponent function
Enter 125
Press the comma key (,)
Enter 1/3
Press =

The calculator will display 5. This is correct because 5 × 5 × 5 = 125.

Verification Table

Number	Cube Root	Verification (Cube Root × Cube Root × Cube Root)
1	1	1 × 1 × 1 = 1
8	2	2 × 2 × 2 = 8
27	3	3 × 3 × 3 = 27
64	4	4 × 4 × 4 = 64
125	5	5 × 5 × 5 = 125

Frequently Asked Questions

How do I find the cube root of a negative number on TI-83 Plus?

The TI-83 Plus calculator can find the cube root of negative numbers. Simply follow the same steps as for positive numbers. For example, the cube root of -8 is -2 because (-2) × (-2) × (-2) = -8.

Can I find the cube root of a decimal number?

Yes, you can find the cube root of decimal numbers. Just enter the decimal number and follow the same steps. For example, the cube root of 0.125 is 0.5 because 0.5 × 0.5 × 0.5 = 0.125.

What if I get an error when calculating cube roots?

If you get an error, double-check that you've entered the formula correctly. Make sure you've pressed the comma key between the number and the exponent, and that you've entered 1/3 as the exponent. If you're still having trouble, try clearing your calculator and starting over.

Is there a faster way to calculate cube roots on TI-83 Plus?

Once you're familiar with the steps, calculating cube roots becomes quick. You can also create a custom program to automate this process if you frequently need to calculate cube roots.