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Ti 84 Plus Calculator Square Root

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 the square root calculation, which is essential for solving equations, analyzing data, and performing various mathematical operations.

How to Calculate Square Root on TI-84 Plus

Calculating square roots on the TI-84 Plus is straightforward. Follow these steps to perform a square root calculation:

  1. Turn on your TI-84 Plus calculator.
  2. Press the 2ND key and then the √ key (which is labeled as "x√" on the screen). This will display "√(" on the screen.
  3. Enter the number for which you want to calculate the square root. For example, to find the square root of 16, enter "16".
  4. Press the ) key to close the parentheses.
  5. The calculator will display the square root of the number you entered. For 16, it will display "4".

Tip: You can also use the square root function to calculate the square root of a variable or expression. For example, to find the square root of x² + 2x + 1, enter "√(x² + 2x + 1)".

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 25 is 5 because 5 × 5 = 25. The square root function is defined for non-negative real numbers and is denoted by the symbol √.

On the TI-84 Plus calculator, the square root function is accessed using the 2ND key followed by the √ key. This function can be used to calculate the square root of a constant, variable, or expression.

Worked Examples

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

Example 1: Square Root of a Constant

Calculate the square root of 36.

  1. Press 2ND then √ to display "√(".
  2. Enter "36".
  3. Press ).
  4. The calculator displays "6".

Verification: 6 × 6 = 36, so the square root of 36 is indeed 6.

Example 2: Square Root of a Variable

Calculate the square root of x² + 4x + 4.

  1. Press 2ND then √ to display "√(".
  2. Enter "x² + 4x + 4".
  3. Press ).
  4. The calculator displays "x + 2".

Verification: (x + 2) × (x + 2) = x² + 4x + 4, so the square root of x² + 4x + 4 is x + 2.

Example 3: Square Root of an Expression

Calculate the square root of 25 + 10√6.

  1. Press 2ND then √ to display "√(".
  2. Enter "25 + 10√6".
  3. Press ).
  4. The calculator displays "5 + √6".

Verification: (5 + √6) × (5 + √6) = 25 + 10√6 + 6 = 31 + 10√6, which matches the original expression.

Frequently Asked Questions

How do I calculate the square root of a negative number on the TI-84 Plus?
The TI-84 Plus calculator does not support the calculation of square roots of negative numbers in real numbers. However, you can calculate the square root of a negative number using complex numbers by pressing the 2ND key followed by the i key to enter the imaginary unit.
Can I use the square root function to calculate the square root of a fraction?
Yes, you can use the square root function to calculate the square root of a fraction. For example, to find the square root of 1/4, enter "√(1/4)" and the calculator will display "0.5".
How do I clear the square root function from the calculator screen?
To clear the square root function from the calculator screen, press the CLEAR key. This will remove all entries from the screen, including the square root function.
Can I use the square root function to calculate the square root of a decimal number?
Yes, you can use the square root function to calculate the square root of a decimal number. For example, to find the square root of 2.25, enter "√(2.25)" and the calculator will display "1.5".