Square root of 1148
The square root of 1148 is 33.882149 (rounded to 6 decimal places). In simplest radical form it is 2ā287.
Square root of 1148
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 1148 is the number that multiplied by itself gives 1148.
- 2
1148 is between the perfect squares 33Ā² = 1089 and 34Ā² = 1156, so its square root is between 33 and 34.
- 3
Pull out the biggest square factor: 1148 = 4 Ć 287, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{1148} = 2\sqrt{287} \approx 33.882149 \]
\[ \sqrt{1148} = \sqrt{4 \times 287} = 2\sqrt{287} \]
\[ \sqrt{1148} \approx 33.882149 \]Squares around 1148
| Number | Squared |
|---|---|
| 32 | 1024 |
| 33 | 1089 |
| 34 | 1156 |
| 35 | 1225 |
Questions
What is the square root of 1148?
The square root of 1148 is 33.882149 (rounded to 6 decimal places). In simplest radical form it is 2ā287.
Is 1148 a perfect square?
No. It lies between 33Ā² = 1089 and 34Ā² = 1156.
What is 1148 squared?
1148 Ć 1148 = 1317904.
What is the square root of 1148 rounded to 2 decimals?
33.88.