Square Root Calculator › Square root of 244
Square Root of 244
√244 ≈ 15.620499
244 is not a perfect square, so √244 is an irrational number that is approximately 15.620499. In simplified radical form, √244 = 2√61.
√244 lies between √225 = 15 and √256 = 16.
| Number | 244 |
| Square root (decimal) | 15.620499 |
| Simplified radical | 2√61 |
| Perfect square? | No |
| Rational? | No |
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Prime factorization of 244
244 = 2^2 × 61. This is what determines the simplified radical: for √244 you pull out one copy of any prime that appears twice.
Here the paired factor 2 comes out from under the root, leaving √244 = 2√61.
Estimating √244 by hand
√244 falls between √225 = 15 and √256 = 16, so it starts at 15.something. The Babylonian method refines that guess by averaging it with 244 ÷ the guess:
| Step | Estimate |
| Start | 15 |
| Step 1 | 15.633333 |
| Step 2 | 15.620505 |
| Step 3 | 15.620499 |
After 3 steps the estimate is 15.620499, matching √244 ≈ 15.620499.
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Frequently asked questions
Is 244 a perfect square?
No, 244 is not a perfect square, so its square root is irrational and approximately 15.620499.
What is the square root of 244 in simplest radical form?
√244 = 2√61 in simplest radical form.