Square Root Calculator › Square root of 88
Square Root of 88
√88 ≈ 9.380832
88 is not a perfect square, so √88 is an irrational number that is approximately 9.380832. In simplified radical form, √88 = 2√22.
√88 lies between √81 = 9 and √100 = 10.
| Number | 88 |
| Square root (decimal) | 9.380832 |
| Simplified radical | 2√22 |
| Perfect square? | No |
| Rational? | No |
Calculate another square root
Prime factorization of 88
88 = 2^3 × 11. This is what determines the simplified radical: for √88 you pull out one copy of any prime that appears twice.
Here the paired factor 2 comes out from under the root, leaving √88 = 2√22.
Estimating √88 by hand
√88 falls between √81 = 9 and √100 = 10, so it starts at 9.something. The Babylonian method refines that guess by averaging it with 88 ÷ the guess:
| Step | Estimate |
| Start | 9 |
| Step 1 | 9.388889 |
| Step 2 | 9.380835 |
| Step 3 | 9.380832 |
After 3 steps the estimate is 9.380832, matching √88 ≈ 9.380832.
Nearby square roots
Frequently asked questions
Is 88 a perfect square?
No, 88 is not a perfect square, so its square root is irrational and approximately 9.380832.
What is the square root of 88 in simplest radical form?
√88 = 2√22 in simplest radical form.