Square root of 2000
The square root of 2000 is 44.72136 (rounded to 6 decimal places). In simplest radical form it is 20ā5.
Square root of 2000
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 2000 is the number that multiplied by itself gives 2000.
- 2
2000 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: 2000 = 400 Ć 5, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{2000} = 20\sqrt{5} \approx 44.72136 \]
\[ \sqrt{2000} = \sqrt{400 \times 5} = 20\sqrt{5} \]
\[ \sqrt{2000} \approx 44.72136 \]Squares around 2000
| Number | Squared |
|---|---|
| 43 | 1849 |
| 44 | 1936 |
| 45 | 2025 |
| 46 | 2116 |
Questions
What is the square root of 2000?
The square root of 2000 is 44.72136 (rounded to 6 decimal places). In simplest radical form it is 20ā5.
Is 2000 a perfect square?
No. It lies between 44Ā² = 1936 and 45Ā² = 2025.
What is 2000 squared?
2000 Ć 2000 = 4000000.
What is the square root of 2000 rounded to 2 decimals?
44.72.