Square Root on Mac Calculator

How to Calculate Square Roots on Mac

Mac computers come with a built-in Calculator app that can compute square roots. Here's how to use it:

Using the Calculator App

1. Open the Calculator app from the Applications folder or Launchpad.
2. Click on the "View" menu and select "Scientific" to switch to the scientific calculator mode.
3. Enter the number you want to find the square root of.
4. Click the "√x" button to calculate the square root.
5. The result will appear in the display.

Using Spotlight Search

For quick calculations, you can use Spotlight:

1. Press Command + Space to open Spotlight.
2. Type "sqrt(16)" (for example) and press Enter.
3. Spotlight will display the result (4 in this case).

Using Terminal

Advanced users can use the terminal for more complex calculations:

1. Open Terminal from the Utilities folder.
2. Type "bc -l" to start the calculator.
3. Enter "sqrt(25)" and press Enter to get the result (5).

Square Root Formula

The square root of a number x is a value that, when multiplied by itself, gives x. Mathematically, it's represented as:

For example, the square root of 25 is 5 because 5 × 5 = 25.

Properties of Square Roots

• The square root of a negative number is not a real number (it's an imaginary number).
• The square root of zero is zero.
• The square root of a perfect square is an integer.
• The square root function is continuous and strictly increasing.

Worked Examples

Example 1: Finding √16

To find the square root of 16:

1. Open the Calculator app and switch to Scientific mode.
2. Enter "16".
3. Click "√x".
4. The result is 4, because 4 × 4 = 16.

Example 2: Finding √2

The square root of 2 is an irrational number approximately equal to 1.414213562.

Example 3: Finding √100

To find the square root of 100:

1. Open the Calculator app.
2. Enter "100".
3. Click "√x".
4. The result is 10, because 10 × 10 = 100.