Square root of 233
The square root of 233 is 15.264338 (rounded to 6 decimal places). It cannot be simplified.
Square root of 233
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 233 is the number that multiplied by itself gives 233.
- 2
233 is between the perfect squares 15² = 225 and 16² = 256, so its square root is between 15 and 16.
- 3
233 has no square factor bigger than 1, so the radical stays as it is.
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{233} = \sqrt{233} \approx 15.264338 \]
\[ \sqrt{233} \]
\[ \sqrt{233} \approx 15.264338 \]Squares around 233
| Number | Squared |
|---|---|
| 14 | 196 |
| 15 | 225 |
| 16 | 256 |
| 17 | 289 |
Questions
What is the square root of 233?
The square root of 233 is 15.264338 (rounded to 6 decimal places). It cannot be simplified.
Is 233 a perfect square?
No. It lies between 15² = 225 and 16² = 256.
What is 233 squared?
233 × 233 = 54289.
What is the square root of 233 rounded to 2 decimals?
15.26.