Square root of 1688
The square root of 1688 is 41.085277 (rounded to 6 decimal places). In simplest radical form it is 2ā422.
Square root of 1688
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 1688 is the number that multiplied by itself gives 1688.
- 2
1688 is between the perfect squares 41Ā² = 1681 and 42Ā² = 1764, so its square root is between 41 and 42.
- 3
Pull out the biggest square factor: 1688 = 4 Ć 422, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{1688} = 2\sqrt{422} \approx 41.085277 \]
\[ \sqrt{1688} = \sqrt{4 \times 422} = 2\sqrt{422} \]
\[ \sqrt{1688} \approx 41.085277 \]Squares around 1688
| Number | Squared |
|---|---|
| 40 | 1600 |
| 41 | 1681 |
| 42 | 1764 |
| 43 | 1849 |
Questions
What is the square root of 1688?
The square root of 1688 is 41.085277 (rounded to 6 decimal places). In simplest radical form it is 2ā422.
Is 1688 a perfect square?
No. It lies between 41Ā² = 1681 and 42Ā² = 1764.
What is 1688 squared?
1688 Ć 1688 = 2849344.
What is the square root of 1688 rounded to 2 decimals?
41.09.