Square root of 1140
The square root of 1140 is 33.763886 (rounded to 6 decimal places). In simplest radical form it is 2ā285.
Square root of 1140
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 1140 is the number that multiplied by itself gives 1140.
- 2
1140 is between the perfect squares 33Ā² = 1089 and 34Ā² = 1156, so its square root is between 33 and 34.
- 3
Pull out the biggest square factor: 1140 = 4 Ć 285, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{1140} = 2\sqrt{285} \approx 33.763886 \]
\[ \sqrt{1140} = \sqrt{4 \times 285} = 2\sqrt{285} \]
\[ \sqrt{1140} \approx 33.763886 \]Squares around 1140
| Number | Squared |
|---|---|
| 32 | 1024 |
| 33 | 1089 |
| 34 | 1156 |
| 35 | 1225 |
Questions
What is the square root of 1140?
The square root of 1140 is 33.763886 (rounded to 6 decimal places). In simplest radical form it is 2ā285.
Is 1140 a perfect square?
No. It lies between 33Ā² = 1089 and 34Ā² = 1156.
What is 1140 squared?
1140 Ć 1140 = 1299600.
What is the square root of 1140 rounded to 2 decimals?
33.76.