Square root of 5309
The square root of 5309 is 72.862885 (rounded to 6 decimal places). It cannot be simplified.
Square root of 5309
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 5309 is the number that multiplied by itself gives 5309.
- 2
5309 is between the perfect squares 72² = 5184 and 73² = 5329, so its square root is between 72 and 73.
- 3
5309 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
\[ \sqrt{5309} = \sqrt{5309} \approx 72.862885 \]
\[ \sqrt{5309} \]
\[ \sqrt{5309} \approx 72.862885 \]Squares around 5309
| Number | Squared |
|---|---|
| 71 | 5041 |
| 72 | 5184 |
| 73 | 5329 |
| 74 | 5476 |
Questions
What is the square root of 5309?
The square root of 5309 is 72.862885 (rounded to 6 decimal places). It cannot be simplified.
Is 5309 a perfect square?
No. It lies between 72² = 5184 and 73² = 5329.
What is 5309 squared?
5309 × 5309 = 28185481.
What is the square root of 5309 rounded to 2 decimals?
72.86.