Square Root Calculator › Square root of 290
Square Root of 290
√290 ≈ 17.029386
290 is not a perfect square, so √290 is an irrational number that is approximately 17.029386. In simplified radical form, √290 = √290.
√290 lies between √289 = 17 and √324 = 18.
| Number | 290 |
| Square root (decimal) | 17.029386 |
| Simplified radical | √290 |
| Perfect square? | No |
| Rational? | No |
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Prime factorization of 290
290 = 2 × 5 × 29. This is what determines the simplified radical: for √290 you pull out one copy of any prime that appears twice.
No prime appears twice, so nothing can be taken out — √290 is already in simplest radical form as √290.
Estimating √290 by hand
√290 falls between √289 = 17 and √324 = 18, so it starts at 17.something. The Babylonian method refines that guess by averaging it with 290 ÷ the guess:
| Step | Estimate |
| Start | 17 |
| Step 1 | 17.029412 |
| Step 2 | 17.029386 |
| Step 3 | 17.029386 |
After 3 steps the estimate is 17.029386, matching √290 ≈ 17.029386.
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Frequently asked questions
Is 290 a perfect square?
No, 290 is not a perfect square, so its square root is irrational and approximately 17.029386.
What is the square root of 290 in simplest radical form?
√290 = √290 in simplest radical form.