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Square Root Calculator Matlab

Reviewed by Calculator Editorial Team

The Square Root Calculator MATLAB helps you compute square roots using MATLAB's built-in functions. This guide explains how to use the calculator, understand the mathematical formula, and apply it in practical scenarios.

What is Square Root?

The square root of a number is a value that, when multiplied by itself, gives the original number. For a non-negative real number x, the square root is written as √x. For example, √9 = 3 because 3 × 3 = 9.

Square roots are fundamental in mathematics, physics, engineering, and many other fields. They are used to solve equations, calculate distances, determine areas, and more.

Square Root Formula:
√x = y where y × y = x

MATLAB Square Root Function

MATLAB provides the sqrt() function to calculate square roots. This function returns the principal (non-negative) square root of a real number or an array of real numbers.

MATLAB Syntax:
y = sqrt(x)

Where:

  • y is the square root of x.
  • x must be a real number or an array of real numbers.

For complex numbers, use the sqrt() function with complex inputs, which returns the principal square root.

How to Use This Calculator

Our Square Root Calculator MATLAB allows you to compute square roots using MATLAB's sqrt() function. Follow these steps:

  1. Enter a real number in the input field.
  2. Click the "Calculate" button to compute the square root.
  3. View the result and MATLAB code snippet.
  4. Use the "Reset" button to clear the input and result.

Note: The calculator uses MATLAB's sqrt() function, which returns the principal (non-negative) square root.

Examples

Here are some examples of square roots calculated using MATLAB:

Input (x) Square Root (√x) MATLAB Code
9 3 sqrt(9)
16 4 sqrt(16)
2.25 1.5 sqrt(2.25)
100 10 sqrt(100)

FAQ

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

The square of a number is the result of multiplying the number by itself (e.g., 3² = 9). The square root is the inverse operation that finds a number which, when multiplied by itself, gives the original number (e.g., √9 = 3).

Can I calculate the square root of a negative number in MATLAB?

Yes, you can calculate the square root of a negative number in MATLAB, which will return a complex number. For example, sqrt(-1) returns 0 + 1.0000i.

How do I calculate the square root of an array in MATLAB?

You can calculate the square root of an array by passing the array to the sqrt() function. For example, sqrt([1, 4, 9]) returns [1, 2, 3].