Square root of 257
The square root of 257 is 16.03122 (rounded to 6 decimal places). It cannot be simplified.
Square root of 257
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 257 is the number that multiplied by itself gives 257.
- 2
257 is between the perfect squares 16² = 256 and 17² = 289, so its square root is between 16 and 17.
- 3
257 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
\[ \sqrt{257} = \sqrt{257} \approx 16.03122 \]
\[ \sqrt{257} \]
\[ \sqrt{257} \approx 16.03122 \]Squares around 257
| Number | Squared |
|---|---|
| 15 | 225 |
| 16 | 256 |
| 17 | 289 |
| 18 | 324 |
Questions
What is the square root of 257?
The square root of 257 is 16.03122 (rounded to 6 decimal places). It cannot be simplified.
Is 257 a perfect square?
No. It lies between 16² = 256 and 17² = 289.
What is 257 squared?
257 × 257 = 66049.
What is the square root of 257 rounded to 2 decimals?
16.03.