Square Root Calculator › Square root of 335
Square Root of 335
√335 ≈ 18.303005
335 is not a perfect square, so √335 is an irrational number that is approximately 18.303005. In simplified radical form, √335 = √335.
√335 lies between √324 = 18 and √361 = 19.
| Number | 335 |
| Square root (decimal) | 18.303005 |
| Simplified radical | √335 |
| Perfect square? | No |
| Rational? | No |
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Prime factorization of 335
335 = 5 × 67. This is what determines the simplified radical: for √335 you pull out one copy of any prime that appears twice.
No prime appears twice, so nothing can be taken out — √335 is already in simplest radical form as √335.
Estimating √335 by hand
√335 falls between √324 = 18 and √361 = 19, so it starts at 18.something. The Babylonian method refines that guess by averaging it with 335 ÷ the guess:
| Step | Estimate |
| Start | 18 |
| Step 1 | 18.305556 |
| Step 2 | 18.303005 |
| Step 3 | 18.303005 |
After 3 steps the estimate is 18.303005, matching √335 ≈ 18.303005.
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Frequently asked questions
Is 335 a perfect square?
No, 335 is not a perfect square, so its square root is irrational and approximately 18.303005.
What is the square root of 335 in simplest radical form?
√335 = √335 in simplest radical form.