Square root of 820
The square root of 820 is 28.635642 (rounded to 6 decimal places). In simplest radical form it is 2ā205.
Square root of 820
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 820 is the number that multiplied by itself gives 820.
- 2
820 is between the perfect squares 28Ā² = 784 and 29Ā² = 841, so its square root is between 28 and 29.
- 3
Pull out the biggest square factor: 820 = 4 Ć 205, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{820} = 2\sqrt{205} \approx 28.635642 \]
\[ \sqrt{820} = \sqrt{4 \times 205} = 2\sqrt{205} \]
\[ \sqrt{820} \approx 28.635642 \]Squares around 820
| Number | Squared |
|---|---|
| 27 | 729 |
| 28 | 784 |
| 29 | 841 |
| 30 | 900 |
Questions
What is the square root of 820?
The square root of 820 is 28.635642 (rounded to 6 decimal places). In simplest radical form it is 2ā205.
Is 820 a perfect square?
No. It lies between 28Ā² = 784 and 29Ā² = 841.
What is 820 squared?
820 Ć 820 = 672400.
What is the square root of 820 rounded to 2 decimals?
28.64.