Square root of 2008
The square root of 2008 is 44.810713 (rounded to 6 decimal places). In simplest radical form it is 2ā502.
Square root of 2008
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 2008 is the number that multiplied by itself gives 2008.
- 2
2008 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: 2008 = 4 Ć 502, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{2008} = 2\sqrt{502} \approx 44.810713 \]
\[ \sqrt{2008} = \sqrt{4 \times 502} = 2\sqrt{502} \]
\[ \sqrt{2008} \approx 44.810713 \]Squares around 2008
| Number | Squared |
|---|---|
| 43 | 1849 |
| 44 | 1936 |
| 45 | 2025 |
| 46 | 2116 |
Questions
What is the square root of 2008?
The square root of 2008 is 44.810713 (rounded to 6 decimal places). In simplest radical form it is 2ā502.
Is 2008 a perfect square?
No. It lies between 44Ā² = 1936 and 45Ā² = 2025.
What is 2008 squared?
2008 Ć 2008 = 4032064.
What is the square root of 2008 rounded to 2 decimals?
44.81.