Square root of 1689
The square root of 1689 is 41.097445 (rounded to 6 decimal places). It cannot be simplified.
Square root of 1689
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 1689 is the number that multiplied by itself gives 1689.
- 2
1689 is between the perfect squares 41² = 1681 and 42² = 1764, so its square root is between 41 and 42.
- 3
1689 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
\[ \sqrt{1689} = \sqrt{1689} \approx 41.097445 \]
\[ \sqrt{1689} \]
\[ \sqrt{1689} \approx 41.097445 \]Squares around 1689
| Number | Squared |
|---|---|
| 40 | 1600 |
| 41 | 1681 |
| 42 | 1764 |
| 43 | 1849 |
Questions
What is the square root of 1689?
The square root of 1689 is 41.097445 (rounded to 6 decimal places). It cannot be simplified.
Is 1689 a perfect square?
No. It lies between 41² = 1681 and 42² = 1764.
What is 1689 squared?
1689 × 1689 = 2852721.
What is the square root of 1689 rounded to 2 decimals?
41.10.