Square root of 1052
The square root of 1052 is 32.434549 (rounded to 6 decimal places). In simplest radical form it is 2ā263.
Square root of 1052
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 1052 is the number that multiplied by itself gives 1052.
- 2
1052 is between the perfect squares 32Ā² = 1024 and 33Ā² = 1089, so its square root is between 32 and 33.
- 3
Pull out the biggest square factor: 1052 = 4 Ć 263, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{1052} = 2\sqrt{263} \approx 32.434549 \]
\[ \sqrt{1052} = \sqrt{4 \times 263} = 2\sqrt{263} \]
\[ \sqrt{1052} \approx 32.434549 \]Squares around 1052
| Number | Squared |
|---|---|
| 31 | 961 |
| 32 | 1024 |
| 33 | 1089 |
| 34 | 1156 |
Questions
What is the square root of 1052?
The square root of 1052 is 32.434549 (rounded to 6 decimal places). In simplest radical form it is 2ā263.
Is 1052 a perfect square?
No. It lies between 32Ā² = 1024 and 33Ā² = 1089.
What is 1052 squared?
1052 Ć 1052 = 1106704.
What is the square root of 1052 rounded to 2 decimals?
32.43.