About this calculator
Enter any non-negative number.
How to use it
- Enter the number.
- Read the root and simplified form.
The formula
√n = a√b, where a² is the largest square factor of n
- perfect square
- a whole number whose root is whole
Worked example
√72
- 72 = 36 × 2.
- √72 = 6√2 ≈ 8.485.
What the result means
Square roots of non-perfect squares are irrational: their decimals never end or repeat.
Assumptions
- Non-negative numbers.
Limitations
- Negative numbers have no real square root.
Frequently asked questions
What is the square root of 2?
About 1.41421356.
How do I simplify √50?
50 = 25 × 2, so √50 = 5√2.
Is √16 = ±4?
The square root symbol means the positive root, 4.
Last reviewed on 3 October 2026. Found a mistake? Tell us.