Square Root Calculator › Square root of 236
Square Root of 236
√236 ≈ 15.362291
236 is not a perfect square, so √236 is an irrational number that is approximately 15.362291. In simplified radical form, √236 = 2√59.
√236 lies between √225 = 15 and √256 = 16.
| Number | 236 |
| Square root (decimal) | 15.362291 |
| Simplified radical | 2√59 |
| Perfect square? | No |
| Rational? | No |
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Prime factorization of 236
236 = 2^2 × 59. This is what determines the simplified radical: for √236 you pull out one copy of any prime that appears twice.
Here the paired factor 2 comes out from under the root, leaving √236 = 2√59.
Estimating √236 by hand
√236 falls between √225 = 15 and √256 = 16, so it starts at 15.something. The Babylonian method refines that guess by averaging it with 236 ÷ the guess:
| Step | Estimate |
| Start | 15 |
| Step 1 | 15.366667 |
| Step 2 | 15.362292 |
| Step 3 | 15.362291 |
After 3 steps the estimate is 15.362291, matching √236 ≈ 15.362291.
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Frequently asked questions
Is 236 a perfect square?
No, 236 is not a perfect square, so its square root is irrational and approximately 15.362291.
What is the square root of 236 in simplest radical form?
√236 = 2√59 in simplest radical form.