Square Root Calculator › Square root of 169
Square Root of 169
√169 = 13
169 is a perfect square: 13 × 13 = 169. Its square root is the whole number 13.
| Number | 169 |
| Square root (decimal) | 13 |
| Simplified radical | 13 |
| Perfect square? | Yes |
| Rational? | Yes |
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Prime factorization of 169
169 = 13^2. This is what determines the simplified radical: for √169 you pull out one copy of any prime that appears twice.
Every prime appears an even number of times, which is exactly why 169 is a perfect square and √169 = 13 is a whole number.
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Frequently asked questions
Is 169 a perfect square?
Yes. 169 is a perfect square because 13 × 13 = 169, so √169 = 13.
What is the square root of 169 in simplest radical form?
√169 simplifies to the whole number 13.