Solve Equation Using Square Root Calculator

How to Use the Square Root Calculator

Using the square root calculator is straightforward. Follow these steps:

1. Enter the equation you want to solve in the input field. For example, you might enter √x = 5.
2. Select the type of equation you're solving (linear, quadratic, etc.).
3. Click the "Calculate" button to solve the equation.
4. Review the result and any additional information provided.

The calculator will solve the equation and display the solution. If the equation has multiple solutions, the calculator will show all possible results.

Square Root Formula

The square root of a number \( x \) is a value that, when multiplied by itself, gives \( x \). The principal (non-negative) square root is denoted by \( \sqrt{x} \).

This formula is the basis for solving equations involving square roots. The calculator uses this formula to find the solution to your equation.

Worked Examples

Here are some examples of how to solve equations using the square root calculator:

Example 1: Simple Square Root Equation

Solve \( \sqrt{x} = 4 \).

1. Square both sides of the equation: \( (\sqrt{x})^2 = 4^2 \).
2. Simplify: \( x = 16 \).

The solution is \( x = 16 \).

Example 2: Quadratic Equation with Square Root

Solve \( \sqrt{x + 3} = 2 \).

1. Square both sides: \( (\sqrt{x + 3})^2 = 2^2 \).
2. Simplify: \( x + 3 = 4 \).
3. Solve for \( x \): \( x = 1 \).

The solution is \( x = 1 \).