Square Root Calculator › Square root of 361
Square Root of 361
√361 = 19
361 is a perfect square: 19 × 19 = 361. Its square root is the whole number 19.
| Number | 361 |
| Square root (decimal) | 19 |
| Simplified radical | 19 |
| Perfect square? | Yes |
| Rational? | Yes |
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Prime factorization of 361
361 = 19^2. This is what determines the simplified radical: for √361 you pull out one copy of any prime that appears twice.
Every prime appears an even number of times, which is exactly why 361 is a perfect square and √361 = 19 is a whole number.
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Frequently asked questions
Is 361 a perfect square?
Yes. 361 is a perfect square because 19 × 19 = 361, so √361 = 19.
What is the square root of 361 in simplest radical form?
√361 simplifies to the whole number 19.