Square root of 52
The square root of 52 is 7.211103 (rounded to 6 decimal places). In simplest radical form it is 2ā13.
Square root of 52
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 52 is the number that multiplied by itself gives 52.
- 2
52 is between the perfect squares 7Ā² = 49 and 8Ā² = 64, so its square root is between 7 and 8.
- 3
Pull out the biggest square factor: 52 = 4 Ć 13, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{52} = 2\sqrt{13} \approx 7.211103 \]
\[ \sqrt{52} = \sqrt{4 \times 13} = 2\sqrt{13} \]
\[ \sqrt{52} \approx 7.211103 \]Squares around 52
| Number | Squared |
|---|---|
| 6 | 36 |
| 7 | 49 |
| 8 | 64 |
| 9 | 81 |
Questions
What is the square root of 52?
The square root of 52 is 7.211103 (rounded to 6 decimal places). In simplest radical form it is 2ā13.
Is 52 a perfect square?
No. It lies between 7Ā² = 49 and 8Ā² = 64.
What is 52 squared?
52 Ć 52 = 2704.
What is the square root of 52 rounded to 2 decimals?
7.21.