Square Root Calculator › Square root of 289
Square Root of 289
√289 = 17
289 is a perfect square: 17 × 17 = 289. Its square root is the whole number 17.
| Number | 289 |
| Square root (decimal) | 17 |
| Simplified radical | 17 |
| Perfect square? | Yes |
| Rational? | Yes |
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Prime factorization of 289
289 = 17^2. This is what determines the simplified radical: for √289 you pull out one copy of any prime that appears twice.
Every prime appears an even number of times, which is exactly why 289 is a perfect square and √289 = 17 is a whole number.
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Frequently asked questions
Is 289 a perfect square?
Yes. 289 is a perfect square because 17 × 17 = 289, so √289 = 17.
What is the square root of 289 in simplest radical form?
√289 simplifies to the whole number 17.