Square Root Calculator › Square root of 100
Square Root of 100
√100 = 10
100 is a perfect square: 10 × 10 = 100. Its square root is the whole number 10.
| Number | 100 |
| Square root (decimal) | 10 |
| Simplified radical | 10 |
| Perfect square? | Yes |
| Rational? | Yes |
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Prime factorization of 100
100 = 2^2 × 5^2. This is what determines the simplified radical: for √100 you pull out one copy of any prime that appears twice.
Every prime appears an even number of times, which is exactly why 100 is a perfect square and √100 = 10 is a whole number.
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Frequently asked questions
Is 100 a perfect square?
Yes. 100 is a perfect square because 10 × 10 = 100, so √100 = 10.
What is the square root of 100 in simplest radical form?
√100 simplifies to the whole number 10.