Square Root Calculator › Square root of 441
Square Root of 441
√441 = 21
441 is a perfect square: 21 × 21 = 441. Its square root is the whole number 21.
| Number | 441 |
| Square root (decimal) | 21 |
| Simplified radical | 21 |
| Perfect square? | Yes |
| Rational? | Yes |
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Prime factorization of 441
441 = 3^2 × 7^2. This is what determines the simplified radical: for √441 you pull out one copy of any prime that appears twice.
Every prime appears an even number of times, which is exactly why 441 is a perfect square and √441 = 21 is a whole number.
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Frequently asked questions
Is 441 a perfect square?
Yes. 441 is a perfect square because 21 × 21 = 441, so √441 = 21.
What is the square root of 441 in simplest radical form?
√441 simplifies to the whole number 21.