Square root of 8000
The square root of 8000 is 89.442719 (rounded to 6 decimal places). In simplest radical form it is 40ā5.
Square root of 8000
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 8000 is the number that multiplied by itself gives 8000.
- 2
8000 is between the perfect squares 89Ā² = 7921 and 90Ā² = 8100, so its square root is between 89 and 90.
- 3
Pull out the biggest square factor: 8000 = 1600 Ć 5, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{8000} = 40\sqrt{5} \approx 89.442719 \]
\[ \sqrt{8000} = \sqrt{1600 \times 5} = 40\sqrt{5} \]
\[ \sqrt{8000} \approx 89.442719 \]Squares around 8000
| Number | Squared |
|---|---|
| 88 | 7744 |
| 89 | 7921 |
| 90 | 8100 |
| 91 | 8281 |
Questions
What is the square root of 8000?
The square root of 8000 is 89.442719 (rounded to 6 decimal places). In simplest radical form it is 40ā5.
Is 8000 a perfect square?
No. It lies between 89Ā² = 7921 and 90Ā² = 8100.
What is 8000 squared?
8000 Ć 8000 = 64000000.
What is the square root of 8000 rounded to 2 decimals?
89.44.