Square Root Calculator: Simple Math Magic

Calculate square roots, cube roots, or any nth root of a number

How It Works

This calculator finds the root of any number. For square roots, it also shows the result in simplified radical form when possible.

  • Square root (√x): Find what number multiplied by itself equals x
  • Cube root (∛x): Find what number multiplied by itself three times equals x
  • nth root: Find what number raised to the power n equals x

Example: √8 = 2√2 ≈ 2.828

What is a Square Root Calculator?

This tool finds square roots, cube roots, or any nth root of a number quickly. It makes math easy and clear.

How It Works

Type your number into the box. Choose the type of root from the menu. If you choose the custom option, enter your chosen root value. Then, click the Calculate button to see the result.

Step-by-Step Instructions

  1. Enter the number: Type the number you want to analyze.
  2. Select the root type:
    • Square Root: Use this option for square roots.
    • Cube Root: Use this for cube roots.
    • Custom nth Root: Pick this if you want a different root.
  3. Enter custom root value: Only show this when you picked Custom nth Root. Type a number of at least 1.
  4. Click Calculate: The calculator computes your answer instantly.

Understanding the Output

The result shows a decimal approximation of the chosen root. For square roots, it may also display a simplified radical form. For example, you might see: √8 = 2√2, which is about 2.828. This helps you see the answer in two different forms.

Limitations and Special Notes

The calculator does not compute even roots for negative numbers. If you enter a negative number and choose an even root, you will get a clear error message. Always check that your inputs are valid.

Common Use Cases

This calculator helps students with homework, teachers with class examples, and anyone who needs quick and clear math results. It gives you fast feedback so you can move on to the next step in your work.