Square Root Calculator › Square root of 324
Square Root of 324
√324 = 18
324 is a perfect square: 18 × 18 = 324. Its square root is the whole number 18.
| Number | 324 |
| Square root (decimal) | 18 |
| Simplified radical | 18 |
| Perfect square? | Yes |
| Rational? | Yes |
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Prime factorization of 324
324 = 2^2 × 3^4. This is what determines the simplified radical: for √324 you pull out one copy of any prime that appears twice.
Every prime appears an even number of times, which is exactly why 324 is a perfect square and √324 = 18 is a whole number.
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Frequently asked questions
Is 324 a perfect square?
Yes. 324 is a perfect square because 18 × 18 = 324, so √324 = 18.
What is the square root of 324 in simplest radical form?
√324 simplifies to the whole number 18.