Square root of 2248
The square root of 2248 is 47.413078 (rounded to 6 decimal places). In simplest radical form it is 2ā562.
Square root of 2248
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 2248 is the number that multiplied by itself gives 2248.
- 2
2248 is between the perfect squares 47² = 2209 and 48² = 2304, so its square root is between 47 and 48.
- 3
Pull out the biggest square factor: 2248 = 4 Ć 562, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{2248} = 2\sqrt{562} \approx 47.413078 \]
\[ \sqrt{2248} = \sqrt{4 \times 562} = 2\sqrt{562} \]
\[ \sqrt{2248} \approx 47.413078 \]Squares around 2248
| Number | Squared |
|---|---|
| 46 | 2116 |
| 47 | 2209 |
| 48 | 2304 |
| 49 | 2401 |
Questions
What is the square root of 2248?
The square root of 2248 is 47.413078 (rounded to 6 decimal places). In simplest radical form it is 2ā562.
Is 2248 a perfect square?
No. It lies between 47² = 2209 and 48² = 2304.
What is 2248 squared?
2248 Ć 2248 = 5053504.
What is the square root of 2248 rounded to 2 decimals?
47.41.