Square root of 2241
The square root of 2241 is 47.339202 (rounded to 6 decimal places). In simplest radical form it is 3ā249.
Square root of 2241
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 2241 is the number that multiplied by itself gives 2241.
- 2
2241 is between the perfect squares 47Ā² = 2209 and 48Ā² = 2304, so its square root is between 47 and 48.
- 3
Pull out the biggest square factor: 2241 = 9 Ć 249, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{2241} = 3\sqrt{249} \approx 47.339202 \]
\[ \sqrt{2241} = \sqrt{9 \times 249} = 3\sqrt{249} \]
\[ \sqrt{2241} \approx 47.339202 \]Squares around 2241
| Number | Squared |
|---|---|
| 46 | 2116 |
| 47 | 2209 |
| 48 | 2304 |
| 49 | 2401 |
Questions
What is the square root of 2241?
The square root of 2241 is 47.339202 (rounded to 6 decimal places). In simplest radical form it is 3ā249.
Is 2241 a perfect square?
No. It lies between 47Ā² = 2209 and 48Ā² = 2304.
What is 2241 squared?
2241 Ć 2241 = 5022081.
What is the square root of 2241 rounded to 2 decimals?
47.34.