Square root of 872
The square root of 872 is 29.529646 (rounded to 6 decimal places). In simplest radical form it is 2ā218.
Square root of 872
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 872 is the number that multiplied by itself gives 872.
- 2
872 is between the perfect squares 29Ā² = 841 and 30Ā² = 900, so its square root is between 29 and 30.
- 3
Pull out the biggest square factor: 872 = 4 Ć 218, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{872} = 2\sqrt{218} \approx 29.529646 \]
\[ \sqrt{872} = \sqrt{4 \times 218} = 2\sqrt{218} \]
\[ \sqrt{872} \approx 29.529646 \]Squares around 872
| Number | Squared |
|---|---|
| 28 | 784 |
| 29 | 841 |
| 30 | 900 |
| 31 | 961 |
Questions
What is the square root of 872?
The square root of 872 is 29.529646 (rounded to 6 decimal places). In simplest radical form it is 2ā218.
Is 872 a perfect square?
No. It lies between 29Ā² = 841 and 30Ā² = 900.
What is 872 squared?
872 Ć 872 = 760384.
What is the square root of 872 rounded to 2 decimals?
29.53.