Square Root Calculator › Square root of 551
Square Root of 551
√551 ≈ 23.473389
551 is not a perfect square, so √551 is an irrational number that is approximately 23.473389. In simplified radical form, √551 = √551.
√551 lies between √529 = 23 and √576 = 24.
| Number | 551 |
| Square root (decimal) | 23.473389 |
| Simplified radical | √551 |
| Perfect square? | No |
| Rational? | No |
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Prime factorization of 551
551 = 19 × 29. This is what determines the simplified radical: for √551 you pull out one copy of any prime that appears twice.
No prime appears twice, so nothing can be taken out — √551 is already in simplest radical form as √551.
Estimating √551 by hand
√551 falls between √529 = 23 and √576 = 24, so it starts at 23.something. The Babylonian method refines that guess by averaging it with 551 ÷ the guess:
| Step | Estimate |
| Start | 23 |
| Step 1 | 23.478261 |
| Step 2 | 23.47339 |
| Step 3 | 23.473389 |
After 3 steps the estimate is 23.473389, matching √551 ≈ 23.473389.
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Frequently asked questions
Is 551 a perfect square?
No, 551 is not a perfect square, so its square root is irrational and approximately 23.473389.
What is the square root of 551 in simplest radical form?
√551 = √551 in simplest radical form.