Square root of 1000
The square root of 1000 is 31.622777 (rounded to 6 decimal places). In simplest radical form it is 10ā10.
Square root of 1000
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 1000 is the number that multiplied by itself gives 1000.
- 2
1000 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: 1000 = 100 Ć 10, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{1000} = 10\sqrt{10} \approx 31.622777 \]
\[ \sqrt{1000} = \sqrt{100 \times 10} = 10\sqrt{10} \]
\[ \sqrt{1000} \approx 31.622777 \]Squares around 1000
| Number | Squared |
|---|---|
| 30 | 900 |
| 31 | 961 |
| 32 | 1024 |
| 33 | 1089 |
Questions
What is the square root of 1000?
The square root of 1000 is 31.622777 (rounded to 6 decimal places). In simplest radical form it is 10ā10.
Is 1000 a perfect square?
No. It lies between 31Ā² = 961 and 32Ā² = 1024.
What is 1000 squared?
1000 Ć 1000 = 1000000.
What is the square root of 1000 rounded to 2 decimals?
31.62.