Square root of 255
The square root of 255 is 15.968719 (rounded to 6 decimal places). It cannot be simplified.
Square root of 255
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 255 is the number that multiplied by itself gives 255.
- 2
255 is between the perfect squares 15² = 225 and 16² = 256, so its square root is between 15 and 16.
- 3
255 has no square factor bigger than 1, so the radical stays as it is.
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{255} = \sqrt{255} \approx 15.968719 \]
\[ \sqrt{255} \]
\[ \sqrt{255} \approx 15.968719 \]Squares around 255
| Number | Squared |
|---|---|
| 14 | 196 |
| 15 | 225 |
| 16 | 256 |
| 17 | 289 |
Questions
What is the square root of 255?
The square root of 255 is 15.968719 (rounded to 6 decimal places). It cannot be simplified.
Is 255 a perfect square?
No. It lies between 15² = 225 and 16² = 256.
What is 255 squared?
255 × 255 = 65025.
What is the square root of 255 rounded to 2 decimals?
15.97.