Square root of 53
The square root of 53 is 7.28011 (rounded to 6 decimal places). It cannot be simplified.
Square root of 53
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 53 is the number that multiplied by itself gives 53.
- 2
53 is between the perfect squares 7² = 49 and 8² = 64, so its square root is between 7 and 8.
- 3
53 has no square factor bigger than 1, so the radical stays as it is.
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{53} = \sqrt{53} \approx 7.28011 \]
\[ \sqrt{53} \]
\[ \sqrt{53} \approx 7.28011 \]Squares around 53
| Number | Squared |
|---|---|
| 6 | 36 |
| 7 | 49 |
| 8 | 64 |
| 9 | 81 |
Questions
What is the square root of 53?
The square root of 53 is 7.28011 (rounded to 6 decimal places). It cannot be simplified.
Is 53 a perfect square?
No. It lies between 7² = 49 and 8² = 64.
What is 53 squared?
53 × 53 = 2809.
What is the square root of 53 rounded to 2 decimals?
7.28.