Square root of 2009
The square root of 2009 is 44.82187 (rounded to 6 decimal places). In simplest radical form it is 7ā41.
Square root of 2009
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 2009 is the number that multiplied by itself gives 2009.
- 2
2009 is between the perfect squares 44Ā² = 1936 and 45Ā² = 2025, so its square root is between 44 and 45.
- 3
Pull out the biggest square factor: 2009 = 49 Ć 41, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{2009} = 7\sqrt{41} \approx 44.82187 \]
\[ \sqrt{2009} = \sqrt{49 \times 41} = 7\sqrt{41} \]
\[ \sqrt{2009} \approx 44.82187 \]Squares around 2009
| Number | Squared |
|---|---|
| 43 | 1849 |
| 44 | 1936 |
| 45 | 2025 |
| 46 | 2116 |
Questions
What is the square root of 2009?
The square root of 2009 is 44.82187 (rounded to 6 decimal places). In simplest radical form it is 7ā41.
Is 2009 a perfect square?
No. It lies between 44Ā² = 1936 and 45Ā² = 2025.
What is 2009 squared?
2009 Ć 2009 = 4036081.
What is the square root of 2009 rounded to 2 decimals?
44.82.