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