Square Root Calculator › Square root of 225
Square Root of 225
√225 = 15
225 is a perfect square: 15 × 15 = 225. Its square root is the whole number 15.
| Number | 225 |
| Square root (decimal) | 15 |
| Simplified radical | 15 |
| Perfect square? | Yes |
| Rational? | Yes |
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Prime factorization of 225
225 = 3^2 × 5^2. This is what determines the simplified radical: for √225 you pull out one copy of any prime that appears twice.
Every prime appears an even number of times, which is exactly why 225 is a perfect square and √225 = 15 is a whole number.
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Frequently asked questions
Is 225 a perfect square?
Yes. 225 is a perfect square because 15 × 15 = 225, so √225 = 15.
What is the square root of 225 in simplest radical form?
√225 simplifies to the whole number 15.