Square Root Calculator › Square root of 376
Square Root of 376
√376 ≈ 19.390719
376 is not a perfect square, so √376 is an irrational number that is approximately 19.390719. In simplified radical form, √376 = 2√94.
√376 lies between √361 = 19 and √400 = 20.
| Number | 376 |
| Square root (decimal) | 19.390719 |
| Simplified radical | 2√94 |
| Perfect square? | No |
| Rational? | No |
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Prime factorization of 376
376 = 2^3 × 47. This is what determines the simplified radical: for √376 you pull out one copy of any prime that appears twice.
Here the paired factor 2 comes out from under the root, leaving √376 = 2√94.
Estimating √376 by hand
√376 falls between √361 = 19 and √400 = 20, so it starts at 19.something. The Babylonian method refines that guess by averaging it with 376 ÷ the guess:
| Step | Estimate |
| Start | 19 |
| Step 1 | 19.394737 |
| Step 2 | 19.39072 |
| Step 3 | 19.390719 |
After 3 steps the estimate is 19.390719, matching √376 ≈ 19.390719.
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Frequently asked questions
Is 376 a perfect square?
No, 376 is not a perfect square, so its square root is irrational and approximately 19.390719.
What is the square root of 376 in simplest radical form?
√376 = 2√94 in simplest radical form.