Square Root Calculator › Square root of 196
Square Root of 196
√196 = 14
196 is a perfect square: 14 × 14 = 196. Its square root is the whole number 14.
| Number | 196 |
| Square root (decimal) | 14 |
| Simplified radical | 14 |
| Perfect square? | Yes |
| Rational? | Yes |
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Prime factorization of 196
196 = 2^2 × 7^2. This is what determines the simplified radical: for √196 you pull out one copy of any prime that appears twice.
Every prime appears an even number of times, which is exactly why 196 is a perfect square and √196 = 14 is a whole number.
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Frequently asked questions
Is 196 a perfect square?
Yes. 196 is a perfect square because 14 × 14 = 196, so √196 = 14.
What is the square root of 196 in simplest radical form?
√196 simplifies to the whole number 14.