Square Root Calculator › Square root of 484
Square Root of 484
√484 = 22
484 is a perfect square: 22 × 22 = 484. Its square root is the whole number 22.
| Number | 484 |
| Square root (decimal) | 22 |
| Simplified radical | 22 |
| Perfect square? | Yes |
| Rational? | Yes |
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Prime factorization of 484
484 = 2^2 × 11^2. This is what determines the simplified radical: for √484 you pull out one copy of any prime that appears twice.
Every prime appears an even number of times, which is exactly why 484 is a perfect square and √484 = 22 is a whole number.
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Frequently asked questions
Is 484 a perfect square?
Yes. 484 is a perfect square because 22 × 22 = 484, so √484 = 22.
What is the square root of 484 in simplest radical form?
√484 simplifies to the whole number 22.