Square Root Calculator › Square root of 49
Square Root of 49
√49 = 7
49 is a perfect square: 7 × 7 = 49. Its square root is the whole number 7.
| Number | 49 |
| Square root (decimal) | 7 |
| Simplified radical | 7 |
| Perfect square? | Yes |
| Rational? | Yes |
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Prime factorization of 49
49 = 7^2. This is what determines the simplified radical: for √49 you pull out one copy of any prime that appears twice.
Every prime appears an even number of times, which is exactly why 49 is a perfect square and √49 = 7 is a whole number.
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Frequently asked questions
Is 49 a perfect square?
Yes. 49 is a perfect square because 7 × 7 = 49, so √49 = 7.
What is the square root of 49 in simplest radical form?
√49 simplifies to the whole number 7.