How to Kake Ti-84 Plus Calculator Simplify Square Roots

Introduction

Square roots are an essential part of algebra and higher mathematics. Simplifying them means expressing them in the form of √(a × b) where a is the largest perfect square factor of b. Your TI-84 Plus calculator can help you simplify square roots quickly and accurately.

Simplifying square roots is particularly useful when dealing with fractions, exponents, or more complex equations. It reduces the complexity of the expression and makes further calculations easier.

Step-by-Step Guide

Step 1: Enter the Number

First, you need to enter the number under the square root that you want to simplify. For example, if you want to simplify √18, you would enter 18.

Step 2: Use the Square Root Function

Press the [2ND] key, then the [√] key. This will bring up the square root function. Enter the number you want to simplify.

Step 3: Simplify the Square Root

Your calculator will display the simplified form of the square root. For √18, the calculator will show 3√2.

Step 4: Verify the Result

To ensure the result is correct, you can square the simplified form and compare it to the original number. For example, (3√2)² = 9 × 2 = 18, which matches the original number.

Worked Examples

Example 1: Simplifying √32

1. Press [2ND] then [√] to access the square root function.

2. Enter 32 and press [ENTER].

3. The calculator displays 4√2.

Example 2: Simplifying √50

1. Press [2ND] then [√] to access the square root function.

2. Enter 50 and press [ENTER].

3. The calculator displays 5√2.

Formula Used

The general formula for simplifying square roots is:

Where a is the largest perfect square factor of b. For example, to simplify √18:

1. Factor 18 into 9 × 2, where 9 is the largest perfect square.
2. √(9 × 2) = √9 × √2 = 3√2.