Square Root Calculator › Square root of 235
Square Root of 235
√235 ≈ 15.32971
235 is not a perfect square, so √235 is an irrational number that is approximately 15.32971. In simplified radical form, √235 = √235.
√235 lies between √225 = 15 and √256 = 16.
| Number | 235 |
| Square root (decimal) | 15.32971 |
| Simplified radical | √235 |
| Perfect square? | No |
| Rational? | No |
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Prime factorization of 235
235 = 5 × 47. This is what determines the simplified radical: for √235 you pull out one copy of any prime that appears twice.
No prime appears twice, so nothing can be taken out — √235 is already in simplest radical form as √235.
Estimating √235 by hand
√235 falls between √225 = 15 and √256 = 16, so it starts at 15.something. The Babylonian method refines that guess by averaging it with 235 ÷ the guess:
| Step | Estimate |
| Start | 15 |
| Step 1 | 15.333333 |
| Step 2 | 15.32971 |
| Step 3 | 15.32971 |
After 3 steps the estimate is 15.32971, matching √235 ≈ 15.32971.
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Frequently asked questions
Is 235 a perfect square?
No, 235 is not a perfect square, so its square root is irrational and approximately 15.32971.
What is the square root of 235 in simplest radical form?
√235 = √235 in simplest radical form.