Square root of 128
The square root of 128 is 11.313708 (rounded to 6 decimal places). In simplest radical form it is 8ā2.
Square root of 128
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 128 is the number that multiplied by itself gives 128.
- 2
128 is between the perfect squares 11Ā² = 121 and 12Ā² = 144, so its square root is between 11 and 12.
- 3
Pull out the biggest square factor: 128 = 64 Ć 2, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{128} = 8\sqrt{2} \approx 11.313708 \]
\[ \sqrt{128} = \sqrt{64 \times 2} = 8\sqrt{2} \]
\[ \sqrt{128} \approx 11.313708 \]Squares around 128
| Number | Squared |
|---|---|
| 10 | 100 |
| 11 | 121 |
| 12 | 144 |
| 13 | 169 |
Questions
What is the square root of 128?
The square root of 128 is 11.313708 (rounded to 6 decimal places). In simplest radical form it is 8ā2.
Is 128 a perfect square?
No. It lies between 11Ā² = 121 and 12Ā² = 144.
What is 128 squared?
128 Ć 128 = 16384.
What is the square root of 128 rounded to 2 decimals?
11.31.