Square root of 261
The square root of 261 is 16.155494 (rounded to 6 decimal places). In simplest radical form it is 3ā29.
Square root of 261
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 261 is the number that multiplied by itself gives 261.
- 2
261 is between the perfect squares 16Ā² = 256 and 17Ā² = 289, so its square root is between 16 and 17.
- 3
Pull out the biggest square factor: 261 = 9 Ć 29, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{261} = 3\sqrt{29} \approx 16.155494 \]
\[ \sqrt{261} = \sqrt{9 \times 29} = 3\sqrt{29} \]
\[ \sqrt{261} \approx 16.155494 \]Squares around 261
| Number | Squared |
|---|---|
| 15 | 225 |
| 16 | 256 |
| 17 | 289 |
| 18 | 324 |
Questions
What is the square root of 261?
The square root of 261 is 16.155494 (rounded to 6 decimal places). In simplest radical form it is 3ā29.
Is 261 a perfect square?
No. It lies between 16Ā² = 256 and 17Ā² = 289.
What is 261 squared?
261 Ć 261 = 68121.
What is the square root of 261 rounded to 2 decimals?
16.16.