Square root of 31
The square root of 31 is 5.567764 (rounded to 6 decimal places). It cannot be simplified.
Square root of 31
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 31 is the number that multiplied by itself gives 31.
- 2
31 is between the perfect squares 5² = 25 and 6² = 36, so its square root is between 5 and 6.
- 3
31 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
\[ \sqrt{31} = \sqrt{31} \approx 5.567764 \]
\[ \sqrt{31} \]
\[ \sqrt{31} \approx 5.567764 \]Squares around 31
| Number | Squared |
|---|---|
| 4 | 16 |
| 5 | 25 |
| 6 | 36 |
| 7 | 49 |
Questions
What is the square root of 31?
The square root of 31 is 5.567764 (rounded to 6 decimal places). It cannot be simplified.
Is 31 a perfect square?
No. It lies between 5² = 25 and 6² = 36.
What is 31 squared?
31 × 31 = 961.
What is the square root of 31 rounded to 2 decimals?
5.57.