Square root of 823
The square root of 823 is 28.687977 (rounded to 6 decimal places). It cannot be simplified.
Square root of 823
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 823 is the number that multiplied by itself gives 823.
- 2
823 is between the perfect squares 28² = 784 and 29² = 841, so its square root is between 28 and 29.
- 3
823 has no square factor bigger than 1, so the radical stays as it is.
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{823} = \sqrt{823} \approx 28.687977 \]
\[ \sqrt{823} \]
\[ \sqrt{823} \approx 28.687977 \]Squares around 823
| Number | Squared |
|---|---|
| 27 | 729 |
| 28 | 784 |
| 29 | 841 |
| 30 | 900 |
Questions
What is the square root of 823?
The square root of 823 is 28.687977 (rounded to 6 decimal places). It cannot be simplified.
Is 823 a perfect square?
No. It lies between 28² = 784 and 29² = 841.
What is 823 squared?
823 × 823 = 677329.
What is the square root of 823 rounded to 2 decimals?
28.69.