Square Root Calculator › Square root of 379
Square Root of 379
√379 ≈ 19.467922
379 is not a perfect square, so √379 is an irrational number that is approximately 19.467922. In simplified radical form, √379 = √379.
√379 lies between √361 = 19 and √400 = 20.
| Number | 379 |
| Square root (decimal) | 19.467922 |
| Simplified radical | √379 |
| Perfect square? | No |
| Rational? | No |
Calculate another square root
Prime factorization of 379
379 = 379. This is what determines the simplified radical: for √379 you pull out one copy of any prime that appears twice.
No prime appears twice, so nothing can be taken out — √379 is already in simplest radical form as √379.
Estimating √379 by hand
√379 falls between √361 = 19 and √400 = 20, so it starts at 19.something. The Babylonian method refines that guess by averaging it with 379 ÷ the guess:
| Step | Estimate |
| Start | 19 |
| Step 1 | 19.473684 |
| Step 2 | 19.467923 |
| Step 3 | 19.467922 |
After 3 steps the estimate is 19.467922, matching √379 ≈ 19.467922.
Nearby square roots
Frequently asked questions
Is 379 a perfect square?
No, 379 is not a perfect square, so its square root is irrational and approximately 19.467922.
What is the square root of 379 in simplest radical form?
√379 = √379 in simplest radical form.