Square Root Calculator › Square root of 25
Square Root of 25
√25 = 5
25 is a perfect square: 5 × 5 = 25. Its square root is the whole number 5.
| Number | 25 |
| Square root (decimal) | 5 |
| Simplified radical | 5 |
| Perfect square? | Yes |
| Rational? | Yes |
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Prime factorization of 25
25 = 5^2. This is what determines the simplified radical: for √25 you pull out one copy of any prime that appears twice.
Every prime appears an even number of times, which is exactly why 25 is a perfect square and √25 = 5 is a whole number.
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Frequently asked questions
Is 25 a perfect square?
Yes. 25 is a perfect square because 5 × 5 = 25, so √25 = 5.
What is the square root of 25 in simplest radical form?
√25 simplifies to the whole number 5.