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Square Root on Ti 84 Plus Calculator

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 most useful functions is calculating square roots. This guide explains how to use the square root function on the TI-84 Plus calculator, including step-by-step instructions, formulas, and practical examples.

How to Calculate Square Roots on TI-84 Plus

Calculating square roots on the TI-84 Plus calculator is straightforward. Follow these steps:

  1. Turn on your TI-84 Plus calculator.
  2. Press the 2ND key.
  3. Press the x² key (this is the square root function).
  4. Enter the number for which you want to calculate the square root.
  5. Press the = key to display the result.

Tip: If you need to calculate the square root of a negative number, you'll get an error message. Square roots of negative numbers are not real numbers but can be calculated using complex numbers.

Square Root Formula

The square root of a number x is a value that, when multiplied by itself, gives x. Mathematically, this is represented as:

√x = y where y × y = x

For example, the square root of 16 is 4 because 4 × 4 = 16.

Worked Examples

Example 1: Calculating √25

  1. Press 2ND then x² to access the square root function.
  2. Enter 25.
  3. Press =.
  4. The calculator displays 5.

Verification: 5 × 5 = 25, so √25 = 5.

Example 2: Calculating √144

  1. Press 2ND then x².
  2. Enter 144.
  3. Press =.
  4. The calculator displays 12.

Verification: 12 × 12 = 144, so √144 = 12.

Example 3: Calculating √0.64

  1. Press 2ND then x².
  2. Enter 0.64.
  3. Press =.
  4. The calculator displays 0.8.

Verification: 0.8 × 0.8 = 0.64, so √0.64 = 0.8.

Frequently Asked Questions

How do I calculate the square root of a negative number on the TI-84 Plus?
The TI-84 Plus calculator cannot calculate the square root of negative numbers directly. To find the square root of a negative number, you need to use complex numbers. Press 2ND then x², enter the negative number, and press =. The calculator will display an error message. For complex numbers, you can use the MATH menu and select C for complex numbers.
Can I calculate square roots of fractions on the TI-84 Plus?
Yes, you can calculate square roots of fractions. Simply enter the fraction in the format a/b (e.g., 1/4) and press 2ND then x² followed by =. The calculator will display the square root of the fraction.
How do I clear the square root function from the TI-84 Plus?
To clear the square root function from the TI-84 Plus, press the CLEAR key. This will clear the current calculation and reset the calculator to its default state.