How to Put Square Root on Calculator

Calculating square roots is a fundamental math operation used in many fields. This guide explains how to use the square root function on different types of calculators, provides the mathematical formula, and includes practical examples.

How to Use the Square Root Function

The square root function is typically represented by the √ symbol. Here's how to use it on different calculator types:

Scientific Calculator

Turn on your calculator and clear any previous calculations.
Enter the number you want to find the square root of.
Press the √ (square root) button.
Press the = (equals) button to see the result.

Graphing Calculator

Open your graphing calculator application.
Enter the number in the input field.
Use the function menu to select the square root function.
Execute the calculation to view the result.

Programmable Calculator

Enter the number in the memory.
Use the programming mode to implement the square root algorithm.
Run the program to calculate the square root.

Online Calculator

Open the online calculator in your web browser.
Enter the number in the input field.
Click the √ button or select "Square Root" from the function menu.
View the result displayed on the screen.

Different Calculator Types

Calculators come in various types, each with its own method for calculating square roots. Here are the most common types:

Basic Calculator

Basic calculators typically don't have a dedicated square root button. You may need to use the exponent function (x²) or perform manual calculations.

Scientific Calculator

Scientific calculators have a dedicated √ button and often include more advanced mathematical functions.

Graphing Calculator

Graphing calculators can perform square root calculations and are often used in educational settings.

Programmable Calculator

Programmable calculators allow you to write custom programs to calculate square roots using algorithms.

Online Calculator

Online calculators provide a digital interface for square root calculations, often with additional features and customization options.

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.

Note: The square root function is only defined for non-negative real numbers. Attempting to calculate the square root of a negative number will result in an error on most calculators.

Worked Examples

Let's look at some practical examples of calculating square roots:

Example 1: Simple Square Root

Calculate √16.

Enter 16 on your calculator.
Press the √ button.
The result is 4, since 4 × 4 = 16.

Example 2: Decimal Square Root

Calculate √2.

Enter 2 on your calculator.
Press the √ button.
The result is approximately 1.41421356, since 1.41421356 × 1.41421356 ≈ 2.

Example 3: Larger Number

Calculate √144.

Enter 144 on your calculator.
Press the √ button.
The result is 12, since 12 × 12 = 144.

Frequently Asked Questions

What is the square root symbol called?

The square root symbol is called a radical sign. It consists of two parts: the radical symbol (√) and the radicand (the number under the radical).

Can I calculate the square root of a negative number?

No, the square root of a negative number is not a real number. Most calculators will display an error message when you attempt to calculate the square root of a negative number.

How do I calculate the square root of a fraction?

To calculate the square root of a fraction, you can use the property that √(a/b) = √a / √b. For example, √(1/4) = √1 / √4 = 1/2.

What is the difference between a square root and a square?

The square of a number is obtained by multiplying the number by itself (e.g., 5² = 5 × 5 = 25). The square root of a number is a value that, when multiplied by itself, gives the original number (e.g., √25 = 5).