Square root of 1016
The square root of 1016 is 31.874755 (rounded to 6 decimal places). In simplest radical form it is 2ā254.
Square root of 1016
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 1016 is the number that multiplied by itself gives 1016.
- 2
1016 is between the perfect squares 31Ā² = 961 and 32Ā² = 1024, so its square root is between 31 and 32.
- 3
Pull out the biggest square factor: 1016 = 4 Ć 254, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{1016} = 2\sqrt{254} \approx 31.874755 \]
\[ \sqrt{1016} = \sqrt{4 \times 254} = 2\sqrt{254} \]
\[ \sqrt{1016} \approx 31.874755 \]Squares around 1016
| Number | Squared |
|---|---|
| 30 | 900 |
| 31 | 961 |
| 32 | 1024 |
| 33 | 1089 |
Questions
What is the square root of 1016?
The square root of 1016 is 31.874755 (rounded to 6 decimal places). In simplest radical form it is 2ā254.
Is 1016 a perfect square?
No. It lies between 31Ā² = 961 and 32Ā² = 1024.
What is 1016 squared?
1016 Ć 1016 = 1032256.
What is the square root of 1016 rounded to 2 decimals?
31.87.