Square root of 232
The square root of 232 is 15.231546 (rounded to 6 decimal places). In simplest radical form it is 2ā58.
Square root of 232
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 232 is the number that multiplied by itself gives 232.
- 2
232 is between the perfect squares 15² = 225 and 16² = 256, so its square root is between 15 and 16.
- 3
Pull out the biggest square factor: 232 = 4 Ć 58, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{232} = 2\sqrt{58} \approx 15.231546 \]
\[ \sqrt{232} = \sqrt{4 \times 58} = 2\sqrt{58} \]
\[ \sqrt{232} \approx 15.231546 \]Squares around 232
| Number | Squared |
|---|---|
| 14 | 196 |
| 15 | 225 |
| 16 | 256 |
| 17 | 289 |
Questions
What is the square root of 232?
The square root of 232 is 15.231546 (rounded to 6 decimal places). In simplest radical form it is 2ā58.
Is 232 a perfect square?
No. It lies between 15² = 225 and 16² = 256.
What is 232 squared?
232 Ć 232 = 53824.
What is the square root of 232 rounded to 2 decimals?
15.23.