Square root of 852
The square root of 852 is 29.189039 (rounded to 6 decimal places). In simplest radical form it is 2ā213.
Square root of 852
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 852 is the number that multiplied by itself gives 852.
- 2
852 is between the perfect squares 29² = 841 and 30² = 900, so its square root is between 29 and 30.
- 3
Pull out the biggest square factor: 852 = 4 Ć 213, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{852} = 2\sqrt{213} \approx 29.189039 \]
\[ \sqrt{852} = \sqrt{4 \times 213} = 2\sqrt{213} \]
\[ \sqrt{852} \approx 29.189039 \]Squares around 852
| Number | Squared |
|---|---|
| 28 | 784 |
| 29 | 841 |
| 30 | 900 |
| 31 | 961 |
Questions
What is the square root of 852?
The square root of 852 is 29.189039 (rounded to 6 decimal places). In simplest radical form it is 2ā213.
Is 852 a perfect square?
No. It lies between 29² = 841 and 30² = 900.
What is 852 squared?
852 Ć 852 = 725904.
What is the square root of 852 rounded to 2 decimals?
29.19.