Square Root Calculator › Square root of 256
Square Root of 256
√256 = 16
256 is a perfect square: 16 × 16 = 256. Its square root is the whole number 16.
| Number | 256 |
| Square root (decimal) | 16 |
| Simplified radical | 16 |
| Perfect square? | Yes |
| Rational? | Yes |
Calculate another square root
Prime factorization of 256
256 = 2^8. This is what determines the simplified radical: for √256 you pull out one copy of any prime that appears twice.
Every prime appears an even number of times, which is exactly why 256 is a perfect square and √256 = 16 is a whole number.
Nearby square roots
Frequently asked questions
Is 256 a perfect square?
Yes. 256 is a perfect square because 16 × 16 = 256, so √256 = 16.
What is the square root of 256 in simplest radical form?
√256 simplifies to the whole number 16.