Square Root Calculator › Square root of 576
Square Root of 576
√576 = 24
576 is a perfect square: 24 × 24 = 576. Its square root is the whole number 24.
| Number | 576 |
| Square root (decimal) | 24 |
| Simplified radical | 24 |
| Perfect square? | Yes |
| Rational? | Yes |
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Prime factorization of 576
576 = 2^6 × 3^2. This is what determines the simplified radical: for √576 you pull out one copy of any prime that appears twice.
Every prime appears an even number of times, which is exactly why 576 is a perfect square and √576 = 24 is a whole number.
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Frequently asked questions
Is 576 a perfect square?
Yes. 576 is a perfect square because 24 × 24 = 576, so √576 = 24.
What is the square root of 576 in simplest radical form?
√576 simplifies to the whole number 24.