Square root of 6804
The square root of 6804 is 82.486363 (rounded to 6 decimal places). In simplest radical form it is 18ā21.
Square root of 6804
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 6804 is the number that multiplied by itself gives 6804.
- 2
6804 is between the perfect squares 82Ā² = 6724 and 83Ā² = 6889, so its square root is between 82 and 83.
- 3
Pull out the biggest square factor: 6804 = 324 Ć 21, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{6804} = 18\sqrt{21} \approx 82.486363 \]
\[ \sqrt{6804} = \sqrt{324 \times 21} = 18\sqrt{21} \]
\[ \sqrt{6804} \approx 82.486363 \]Squares around 6804
| Number | Squared |
|---|---|
| 81 | 6561 |
| 82 | 6724 |
| 83 | 6889 |
| 84 | 7056 |
Questions
What is the square root of 6804?
The square root of 6804 is 82.486363 (rounded to 6 decimal places). In simplest radical form it is 18ā21.
Is 6804 a perfect square?
No. It lies between 82Ā² = 6724 and 83Ā² = 6889.
What is 6804 squared?
6804 Ć 6804 = 46294416.
What is the square root of 6804 rounded to 2 decimals?
82.49.