Square root of 1409
The square root of 1409 is 37.536649 (rounded to 6 decimal places). It cannot be simplified.
Square root of 1409
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 1409 is the number that multiplied by itself gives 1409.
- 2
1409 is between the perfect squares 37² = 1369 and 38² = 1444, so its square root is between 37 and 38.
- 3
1409 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
\[ \sqrt{1409} = \sqrt{1409} \approx 37.536649 \]
\[ \sqrt{1409} \]
\[ \sqrt{1409} \approx 37.536649 \]Squares around 1409
| Number | Squared |
|---|---|
| 36 | 1296 |
| 37 | 1369 |
| 38 | 1444 |
| 39 | 1521 |
Questions
What is the square root of 1409?
The square root of 1409 is 37.536649 (rounded to 6 decimal places). It cannot be simplified.
Is 1409 a perfect square?
No. It lies between 37² = 1369 and 38² = 1444.
What is 1409 squared?
1409 × 1409 = 1985281.
What is the square root of 1409 rounded to 2 decimals?
37.54.