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How to Get Square Root on A Ti-83 Plus Calculator

Reviewed by Calculator Editorial Team

The TI-83 Plus is a powerful scientific calculator that can perform a wide range of mathematical operations, including square roots. Calculating square roots is essential in many mathematical and scientific applications, from solving quadratic equations to geometry problems.

How to Calculate Square Roots on TI-83 Plus

The TI-83 Plus provides multiple methods to calculate square roots. The most common approach is using the square root function (√) located on the calculator's keypad. Here's how to use it:

Square Root Formula:

√a = b, where b is the non-negative number that, when multiplied by itself, gives a.

The calculator can handle both positive and negative numbers for the square root function. However, the result will always be displayed as a positive value.

Step-by-Step Guide

Method 1: Using the Square Root Key

  1. Turn on your TI-83 Plus calculator.
  2. Press the 2ND key.
  3. Press the √ key (located above the 2ND key).
  4. Enter the number you want to find the square root of.
  5. Press the ENTER key to see the result.

Method 2: Using the Exponent Key

  1. Turn on your TI-83 Plus calculator.
  2. Enter the number you want to find the square root of.
  3. Press the ^ key (located above the 6 key).
  4. Enter 0.5 (since √a = a^0.5).
  5. Press the ENTER key to see the result.

Note: The TI-83 Plus will display an error message if you try to calculate the square root of a negative number using the √ key. However, using the exponent method (a^0.5) will still work and return a valid complex number result.

Worked Examples

Let's look at a couple of examples to illustrate how to calculate square roots on the TI-83 Plus.

Example 1: Positive Number

Find the square root of 25.

  1. Press 2ND then √.
  2. Enter 25.
  3. Press ENTER.

The calculator will display 5 as the result.

Example 2: Negative Number

Find the square root of -9.

  1. Enter -9.
  2. Press ^ then 0.5.
  3. Press ENTER.

The calculator will display 3i as the result, representing the complex number 3 times the imaginary unit i.

Common Mistakes

While calculating square roots on the TI-83 Plus, there are several common mistakes users make:

  • Forgetting to press the 2ND key: The square root function is accessed by pressing 2ND first, then the √ key. Forgetting the 2ND key will result in an error.
  • Entering negative numbers with the √ key: The √ key only works with non-negative numbers. For negative numbers, use the exponent method (a^0.5).
  • Not pressing ENTER after entering the number: Always press ENTER after entering the number to see the result.

Frequently Asked Questions

Can I calculate square roots of negative numbers on the TI-83 Plus?
Yes, you can calculate square roots of negative numbers using the exponent method (a^0.5). The calculator will display the result as a complex number.
What if I press the √ key without pressing 2ND first?
The calculator will display an error message. Always remember to press the 2ND key before the √ key to access the square root function.
How do I clear the square root function if I make a mistake?
Press the CLEAR key to reset the calculator and start over.
Can I use the TI-83 Plus to solve quadratic equations?
Yes, the TI-83 Plus can solve quadratic equations using the quadratic formula. You can input the coefficients and the calculator will find the roots.