Square root of 1012
The square root of 1012 is 31.811947 (rounded to 6 decimal places). In simplest radical form it is 2ā253.
Square root of 1012
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 1012 is the number that multiplied by itself gives 1012.
- 2
1012 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: 1012 = 4 Ć 253, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{1012} = 2\sqrt{253} \approx 31.811947 \]
\[ \sqrt{1012} = \sqrt{4 \times 253} = 2\sqrt{253} \]
\[ \sqrt{1012} \approx 31.811947 \]Squares around 1012
| Number | Squared |
|---|---|
| 30 | 900 |
| 31 | 961 |
| 32 | 1024 |
| 33 | 1089 |
Questions
What is the square root of 1012?
The square root of 1012 is 31.811947 (rounded to 6 decimal places). In simplest radical form it is 2ā253.
Is 1012 a perfect square?
No. It lies between 31Ā² = 961 and 32Ā² = 1024.
What is 1012 squared?
1012 Ć 1012 = 1024144.
What is the square root of 1012 rounded to 2 decimals?
31.81.