Square Root Calculator › Square root of 144
Square Root of 144
√144 = 12
144 is a perfect square: 12 × 12 = 144. Its square root is the whole number 12.
| Number | 144 |
| Square root (decimal) | 12 |
| Simplified radical | 12 |
| Perfect square? | Yes |
| Rational? | Yes |
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Prime factorization of 144
144 = 2^4 × 3^2. This is what determines the simplified radical: for √144 you pull out one copy of any prime that appears twice.
Every prime appears an even number of times, which is exactly why 144 is a perfect square and √144 = 12 is a whole number.
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Frequently asked questions
Is 144 a perfect square?
Yes. 144 is a perfect square because 12 × 12 = 144, so √144 = 12.
What is the square root of 144 in simplest radical form?
√144 simplifies to the whole number 12.