Square root of 313
The square root of 313 is 17.691806 (rounded to 6 decimal places). It cannot be simplified.
Square root of 313
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 313 is the number that multiplied by itself gives 313.
- 2
313 is between the perfect squares 17² = 289 and 18² = 324, so its square root is between 17 and 18.
- 3
313 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
\[ \sqrt{313} = \sqrt{313} \approx 17.691806 \]
\[ \sqrt{313} \]
\[ \sqrt{313} \approx 17.691806 \]Squares around 313
| Number | Squared |
|---|---|
| 16 | 256 |
| 17 | 289 |
| 18 | 324 |
| 19 | 361 |
Questions
What is the square root of 313?
The square root of 313 is 17.691806 (rounded to 6 decimal places). It cannot be simplified.
Is 313 a perfect square?
No. It lies between 17² = 289 and 18² = 324.
What is 313 squared?
313 × 313 = 97969.
What is the square root of 313 rounded to 2 decimals?
17.69.