Square root of 828
The square root of 828 is 28.774989 (rounded to 6 decimal places). In simplest radical form it is 6ā23.
Square root of 828
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 828 is the number that multiplied by itself gives 828.
- 2
828 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: 828 = 36 Ć 23, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{828} = 6\sqrt{23} \approx 28.774989 \]
\[ \sqrt{828} = \sqrt{36 \times 23} = 6\sqrt{23} \]
\[ \sqrt{828} \approx 28.774989 \]Squares around 828
| Number | Squared |
|---|---|
| 27 | 729 |
| 28 | 784 |
| 29 | 841 |
| 30 | 900 |
Questions
What is the square root of 828?
The square root of 828 is 28.774989 (rounded to 6 decimal places). In simplest radical form it is 6ā23.
Is 828 a perfect square?
No. It lies between 28Ā² = 784 and 29Ā² = 841.
What is 828 squared?
828 Ć 828 = 685584.
What is the square root of 828 rounded to 2 decimals?
28.77.