Square Root Calculator › Square root of 439
Square Root of 439
√439 ≈ 20.952327
439 is not a perfect square, so √439 is an irrational number that is approximately 20.952327. In simplified radical form, √439 = √439.
√439 lies between √400 = 20 and √441 = 21.
| Number | 439 |
| Square root (decimal) | 20.952327 |
| Simplified radical | √439 |
| Perfect square? | No |
| Rational? | No |
Calculate another square root
Prime factorization of 439
439 = 439. This is what determines the simplified radical: for √439 you pull out one copy of any prime that appears twice.
No prime appears twice, so nothing can be taken out — √439 is already in simplest radical form as √439.
Estimating √439 by hand
√439 falls between √400 = 20 and √441 = 21, so it starts at 20.something. The Babylonian method refines that guess by averaging it with 439 ÷ the guess:
| Step | Estimate |
| Start | 20 |
| Step 1 | 20.975 |
| Step 2 | 20.952339 |
| Step 3 | 20.952327 |
After 3 steps the estimate is 20.952327, matching √439 ≈ 20.952327.
Nearby square roots
Frequently asked questions
Is 439 a perfect square?
No, 439 is not a perfect square, so its square root is irrational and approximately 20.952327.
What is the square root of 439 in simplest radical form?
√439 = √439 in simplest radical form.