Square root of 1253
The square root of 1253 is 35.39774 (rounded to 6 decimal places). It cannot be simplified.
Square root of 1253
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 1253 is the number that multiplied by itself gives 1253.
- 2
1253 is between the perfect squares 35² = 1225 and 36² = 1296, so its square root is between 35 and 36.
- 3
1253 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
\[ \sqrt{1253} = \sqrt{1253} \approx 35.39774 \]
\[ \sqrt{1253} \]
\[ \sqrt{1253} \approx 35.39774 \]Squares around 1253
| Number | Squared |
|---|---|
| 34 | 1156 |
| 35 | 1225 |
| 36 | 1296 |
| 37 | 1369 |
Questions
What is the square root of 1253?
The square root of 1253 is 35.39774 (rounded to 6 decimal places). It cannot be simplified.
Is 1253 a perfect square?
No. It lies between 35² = 1225 and 36² = 1296.
What is 1253 squared?
1253 × 1253 = 1570009.
What is the square root of 1253 rounded to 2 decimals?
35.40.