# Square Root Calculator

> Calculate square roots and other whole-number roots.

Page: https://freecalculator.tech/tools/square-root-calculator

## How do I find a square root?

The square root of a number is the value that gives the number when multiplied by itself.

## Formula

The nth root of x is x^(1/n). Negative numbers have real roots only for odd integer indices.

- The nth root of x is x^(1/n). Negative numbers have real roots only for odd integer indices.
- Inputs used: Number, Root index.
- Edge handling: Number is required.; Root index is required.; Root index must be greater than zero..

## Inputs

- Number
- Root index

## Worked example: Square root of 81

√81 = 9.
1. Start with Number: 81, Root index: 2.
2. Apply the method: The nth root of x is x^(1/n). Negative numbers have real roots only for odd integer indices.
3. √81 = 9.

## Common questions

### How do I find a square root?

The square root of a number is the value that gives the number when multiplied by itself. Check the formula, example, and limitations on this page before using the result for a real math decision.

### Can I calculate cube roots?

Yes. Set the root index to 3.

### Can I use negative numbers?

Yes for odd roots, such as the cube root of −8. Check the formula, example, and limitations on this page before using the result for a real math decision.

### How do I use the Square Root Calculator?

Enter the required values for Number, Root index. The calculator applies the formula on this page and shows the main result with any supporting breakdown so you can check the arithmetic.

### What formula does the Square Root Calculator use?

The nth root of x is x^(1/n). Negative numbers have real roots only for odd integer indices. The visible formula section above lists the calculation path and the edge cases the page handles, so the result can be checked without relying on the form alone.

### Can the Square Root Calculator be used for exact decisions?

Use it as a calculation aid, not as a substitute for checking the underlying rule, contract, policy, or professional advice that applies to your situation. When a result depends on local rules, personal details, prices, or dates, enter those values yourself and confirm them before acting.

## Limitations and assumptions

- Inputs outside the supported range are rejected rather than forced into a result.
- The result depends on the values you enter for this square root calculator; it does not supply missing rates, rules, prices, dates, or assumptions for you.

## Cite this page

- APA: Free Calculator. (n.d.). Square Root Calculator. https://freecalculator.tech/tools/square-root-calculator
- MLA: "Square Root Calculator." Free Calculator, https://freecalculator.tech/tools/square-root-calculator.
- Link: Square Root Calculator — Free Calculator, https://freecalculator.tech/tools/square-root-calculator