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Square Root Answer Button on Calculator

Reviewed by Calculator Editorial Team

Calculating square roots is a fundamental math operation that appears in many scientific, engineering, and everyday calculations. This guide explains how to properly use the square root button on your calculator, including step-by-step instructions, common mistakes to avoid, and practical examples.

How to Use the Square Root Button

The square root button (√) on a calculator is used to find the square root of a number. Here's how to use it properly:

  1. Enter the number you want to find the square root of.
  2. Press the √ (square root) button.
  3. The calculator will display the square root of the number.

Note: Make sure your calculator is in the correct mode (usually "DEG" for degrees) before performing square root calculations.

Step-by-Step Example

Let's find the square root of 144:

  1. Press the number 1, then 4, then 4 to enter 144.
  2. Press the √ button.
  3. The calculator displays 12, which is the square root of 144.

You can verify this by multiplying 12 by itself: 12 × 12 = 144.

Common Mistakes

When using the square root button, there are several common mistakes to avoid:

  • Entering negative numbers: The square root of a negative number is not a real number. If you enter a negative number, the calculator may display an error message.
  • Pressing the wrong button: Make sure you press the √ button, not the x² (square) button. These are different operations.
  • Forgetting to clear the calculator: Before entering a new number, make sure to clear the previous result by pressing the "C" or "AC" button.

Tip: If you need to find the square root of a negative number, you can use complex numbers. However, this is beyond the scope of this guide.

Practical Examples

Square roots are used in many practical applications. Here are a few examples:

Example 1: Finding the Side Length of a Square

If you know the area of a square and want to find the length of one side, you can use the square root formula:

Side length = √(Area)

For example, if a square has an area of 25 square units, the length of one side is √25 = 5 units.

Example 2: Calculating Distance from the Origin

In coordinate geometry, the distance from a point (x, y) to the origin (0, 0) is given by:

Distance = √(x² + y²)

For example, the distance from (3, 4) to the origin is √(3² + 4²) = √(9 + 16) = √25 = 5 units.

Square Root Formula

The square root of a number x is a number y such that y² = x. In mathematical terms:

√x = y where y² = x

This formula is the foundation for all square root calculations. The calculator uses this formula to compute the square root of any non-negative number you enter.

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

Frequently Asked Questions

What is the difference between the √ button and the x² button?
The √ button calculates the square root of a number, while the x² button squares a number (multiplies it by itself). For example, √16 = 4, while 4² = 16.
Can I find the square root of a negative number?
No, the square root of a negative number is not a real number. However, you can use complex numbers to find the square root of a negative number.
How do I clear the calculator before entering a new number?
Press the "C" or "AC" button on your calculator to clear the current entry or all entries, respectively.
What should I do if my calculator displays an error when I try to find a square root?
Check that you are entering a non-negative number. If you are, make sure your calculator is in the correct mode (usually "DEG" for degrees).