Square root of 1649
The square root of 1649 is 40.607881 (rounded to 6 decimal places). It cannot be simplified.
Square root of 1649
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 1649 is the number that multiplied by itself gives 1649.
- 2
1649 is between the perfect squares 40² = 1600 and 41² = 1681, so its square root is between 40 and 41.
- 3
1649 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
\[ \sqrt{1649} = \sqrt{1649} \approx 40.607881 \]
\[ \sqrt{1649} \]
\[ \sqrt{1649} \approx 40.607881 \]Squares around 1649
| Number | Squared |
|---|---|
| 39 | 1521 |
| 40 | 1600 |
| 41 | 1681 |
| 42 | 1764 |
Questions
What is the square root of 1649?
The square root of 1649 is 40.607881 (rounded to 6 decimal places). It cannot be simplified.
Is 1649 a perfect square?
No. It lies between 40² = 1600 and 41² = 1681.
What is 1649 squared?
1649 × 1649 = 2719201.
What is the square root of 1649 rounded to 2 decimals?
40.61.