# Square Root Calculator

URL: https://speedycalculator.com/calculators/math/square-root/
Last updated: 2026-10-25

> The square root calculator finds the number that, multiplied by itself, gives your input. It also shows the cube root and checks whether the number is a perfect square.

## Inputs

- Number

## Results

- Square root
- Cube root
- Perfect square?

## Formula

```
√x = x^(1/2)
```

## Explanation

Square roots appear in geometry, physics and statistics, from the Pythagorean theorem to standard deviation.

### How to use the Square Root Calculator

- **Number**
- Want to work backwards? Type a value into **Square root** and **Number** is calculated for you.

Results update as you type, and every field accepts the units shown in its menu.

### How it works

The calculator raises x to the power one half. Negative inputs have no real square root.

### What each result means

- **Square root** = sqrt([Number])
- **Cube root** = cbrt([Number])

### Example values

How the main result changes when **Number** changes and everything else stays at the example values above:

NumberSquare root25537.56.1237507.071162.57.9057758.660310010

## Worked example

Inputs — Number: 50.

Results — **Square root = 7.07106781**; Cube root = 3.6840315; Perfect square? = 0.

## Key terms

- **Perfect square**: A number whose square root is a whole number.

## FAQ

**What is the square root of a negative number?**
It is imaginary; for example √−9 = 3i.

**How do I simplify √50?**
50 = 25 × 2, so √50 = 5√2 ≈ 7.071.

**What formula does the Square Root Calculator use?**
√x = x^(1/2).

**Can I work backwards from the result?**
Yes. Type the result you want into Square root and the calculator finds the matching number.