Square root of 252
The square root of 252 is 15.874508 (rounded to 6 decimal places). In simplest radical form it is 6ā7.
Square root of 252
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 252 is the number that multiplied by itself gives 252.
- 2
252 is between the perfect squares 15Ā² = 225 and 16Ā² = 256, so its square root is between 15 and 16.
- 3
Pull out the biggest square factor: 252 = 36 Ć 7, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{252} = 6\sqrt{7} \approx 15.874508 \]
\[ \sqrt{252} = \sqrt{36 \times 7} = 6\sqrt{7} \]
\[ \sqrt{252} \approx 15.874508 \]Squares around 252
| Number | Squared |
|---|---|
| 14 | 196 |
| 15 | 225 |
| 16 | 256 |
| 17 | 289 |
Questions
What is the square root of 252?
The square root of 252 is 15.874508 (rounded to 6 decimal places). In simplest radical form it is 6ā7.
Is 252 a perfect square?
No. It lies between 15Ā² = 225 and 16Ā² = 256.
What is 252 squared?
252 Ć 252 = 63504.
What is the square root of 252 rounded to 2 decimals?
15.87.