Square Root Calculator › Square root of 36
Square Root of 36
√36 = 6
36 is a perfect square: 6 × 6 = 36. Its square root is the whole number 6.
| Number | 36 |
| Square root (decimal) | 6 |
| Simplified radical | 6 |
| Perfect square? | Yes |
| Rational? | Yes |
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Prime factorization of 36
36 = 2^2 × 3^2. This is what determines the simplified radical: for √36 you pull out one copy of any prime that appears twice.
Every prime appears an even number of times, which is exactly why 36 is a perfect square and √36 = 6 is a whole number.
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Frequently asked questions
Is 36 a perfect square?
Yes. 36 is a perfect square because 6 × 6 = 36, so √36 = 6.
What is the square root of 36 in simplest radical form?
√36 simplifies to the whole number 6.