Square Root Calculator › Square root of 44
Square Root of 44
√44 ≈ 6.63325
44 is not a perfect square, so √44 is an irrational number that is approximately 6.63325. In simplified radical form, √44 = 2√11.
√44 lies between √36 = 6 and √49 = 7.
| Number | 44 |
| Square root (decimal) | 6.63325 |
| Simplified radical | 2√11 |
| Perfect square? | No |
| Rational? | No |
Calculate another square root
Prime factorization of 44
44 = 2^2 × 11. This is what determines the simplified radical: for √44 you pull out one copy of any prime that appears twice.
Here the paired factor 2 comes out from under the root, leaving √44 = 2√11.
Estimating √44 by hand
√44 falls between √36 = 6 and √49 = 7, so it starts at 6.something. The Babylonian method refines that guess by averaging it with 44 ÷ the guess:
| Step | Estimate |
| Start | 6 |
| Step 1 | 6.666667 |
| Step 2 | 6.633333 |
| Step 3 | 6.63325 |
After 3 steps the estimate is 6.63325, matching √44 ≈ 6.63325.
Nearby square roots
Frequently asked questions
Is 44 a perfect square?
No, 44 is not a perfect square, so its square root is irrational and approximately 6.63325.
What is the square root of 44 in simplest radical form?
√44 = 2√11 in simplest radical form.