Square Root Calculator › Square root of 1
Square Root of 1
√1 = 1
1 is a perfect square: 1 × 1 = 1. Its square root is the whole number 1.
| Number | 1 |
| Square root (decimal) | 1 |
| Simplified radical | 1 |
| Perfect square? | Yes |
| Rational? | Yes |
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Prime factorization of 1
1 = 1. This is what determines the simplified radical: for √1 you pull out one copy of any prime that appears twice.
Every prime appears an even number of times, which is exactly why 1 is a perfect square and √1 = 1 is a whole number.
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Frequently asked questions
Is 1 a perfect square?
Yes. 1 is a perfect square because 1 × 1 = 1, so √1 = 1.
What is the square root of 1 in simplest radical form?
√1 simplifies to the whole number 1.