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X Root Ti 84 Plus Calculator

Reviewed by Calculator Editorial Team

The TI-84 Plus calculator is a powerful tool for mathematical calculations, including finding roots of numbers. This guide explains how to calculate x roots using the TI-84 Plus, including step-by-step instructions, formulas, and practical examples.

How to Calculate X Roots on TI-84 Plus

Calculating roots on the TI-84 Plus involves using the calculator's built-in functions. Here's a step-by-step guide:

  1. Turn on your TI-84 Plus calculator and press the 2ND key to access the secondary functions.
  2. Press the x^(1/x) key (located in the upper right corner of the calculator) to access the root function.
  3. Enter the number you want to find the root of. For example, if you want to find the cube root of 27, enter 27.
  4. Press the x^(1/x) key again to calculate the root. The calculator will display the result.
  5. To find a specific root (e.g., 5th root), enter the number, then press 2ND, x^(1/x), and enter the root value (5 in this case).

Note: The TI-84 Plus can calculate square roots, cube roots, and other roots. For non-integer roots, the calculator will provide an approximate decimal result.

Formula Used

The general formula for calculating the x-th root of a number y is:

y^(1/x)

Where:

  • y is the number you want to find the root of
  • x is the root you want to calculate (e.g., 2 for square root, 3 for cube root)

For example, the cube root of 27 is calculated as 27^(1/3) = 3.

Worked Examples

Let's look at a few examples of calculating roots on the TI-84 Plus.

Example 1: Square Root of 16

To find the square root of 16:

  1. Press 2ND then x^(1/x).
  2. Enter 16.
  3. Press x^(1/x) again.
  4. The calculator displays 4.

This matches the formula: 16^(1/2) = 4.

Example 2: Cube Root of 64

To find the cube root of 64:

  1. Press 2ND then x^(1/x).
  2. Enter 64.
  3. Press x^(1/x) again.
  4. The calculator displays 4.

This matches the formula: 64^(1/3) = 4.

Example 3: 5th Root of 32

To find the 5th root of 32:

  1. Press 2ND then x^(1/x).
  2. Enter 32.
  3. Press 2ND then x^(1/x) again.
  4. Enter 5.
  5. The calculator displays 2.

This matches the formula: 32^(1/5) = 2.

Frequently Asked Questions

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

Yes, you can calculate roots of negative numbers on the TI-84 Plus. For even roots (like square roots), the calculator will display an error message because even roots of negative numbers are not real numbers. For odd roots (like cube roots), the calculator will provide a real number result.

How do I clear the calculator after calculating a root?

To clear the calculator, press the CLEAR key (located in the upper left corner of the calculator). This will clear the current calculation and reset the display.

What if I enter a non-integer root?

If you enter a non-integer root (like 1.5), the TI-84 Plus will calculate the root and display an approximate decimal result. For example, 8^(1/1.5) ≈ 2.5198.