Square Root Calculator › Square root of 246
Square Root of 246
√246 ≈ 15.684387
246 is not a perfect square, so √246 is an irrational number that is approximately 15.684387. In simplified radical form, √246 = √246.
√246 lies between √225 = 15 and √256 = 16.
| Number | 246 |
| Square root (decimal) | 15.684387 |
| Simplified radical | √246 |
| Perfect square? | No |
| Rational? | No |
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Prime factorization of 246
246 = 2 × 3 × 41. This is what determines the simplified radical: for √246 you pull out one copy of any prime that appears twice.
No prime appears twice, so nothing can be taken out — √246 is already in simplest radical form as √246.
Estimating √246 by hand
√246 falls between √225 = 15 and √256 = 16, so it starts at 15.something. The Babylonian method refines that guess by averaging it with 246 ÷ the guess:
| Step | Estimate |
| Start | 15 |
| Step 1 | 15.7 |
| Step 2 | 15.684395 |
| Step 3 | 15.684387 |
After 3 steps the estimate is 15.684387, matching √246 ≈ 15.684387.
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Frequently asked questions
Is 246 a perfect square?
No, 246 is not a perfect square, so its square root is irrational and approximately 15.684387.
What is the square root of 246 in simplest radical form?
√246 = √246 in simplest radical form.