√ Square Root Calculator
Enter a number to get its square root to many decimal places, the simplified radical (like 5√2), and other roots if you need them.
Root
How the Square Root Calculator works
The square root of n is the number that multiplied by itself gives n. To simplify, the largest perfect square factor is taken out of the root.
√n = n^(1/2) · ∛n = n^(1/3) · ⁿ√x = x^(1/n)
Simplify: √50 = √(25 × 2) = 5√2
Step-by-step calculation
- 1Enter the number.
- 2Choose the root.
- 3Calculate and simplify the radical.
Worked example
√50 = 5√2 ≈ 7.0711, and ∛27 = 3.
Square Root Calculator examples
| Number | Root |
|---|---|
| 25 | 5 |
| 38 | 6.164414 |
| 50 | 7.07106781 |
| 63 | 7.93725393 |
| 75 | 8.66025404 |
Other inputs kept at the calculator's default values. Results calculated by this calculator.
Why use a Square Root Calculator?
Find roots for geometry, algebra and science.
Important factors that can affect your results
- Negative numbers under even roots.
- Rounding.
- Simplified radical form.
Frequently asked questions
Can I take the square root of a negative number?
Not in real numbers. The result is imaginary: √−9 = 3i.
Is √16 = ±4?
The square root symbol means the positive root, 4. The equation x² = 16 has two answers, ±4.
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Last reviewed November 2026 · How we build and check our tools · Report a problem