Square root of 1664
The square root of 1664 is 40.792156 (rounded to 6 decimal places). In simplest radical form it is 8ā26.
Square root of 1664
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 1664 is the number that multiplied by itself gives 1664.
- 2
1664 is between the perfect squares 40Ā² = 1600 and 41Ā² = 1681, so its square root is between 40 and 41.
- 3
Pull out the biggest square factor: 1664 = 64 Ć 26, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{1664} = 8\sqrt{26} \approx 40.792156 \]
\[ \sqrt{1664} = \sqrt{64 \times 26} = 8\sqrt{26} \]
\[ \sqrt{1664} \approx 40.792156 \]Squares around 1664
| Number | Squared |
|---|---|
| 39 | 1521 |
| 40 | 1600 |
| 41 | 1681 |
| 42 | 1764 |
Questions
What is the square root of 1664?
The square root of 1664 is 40.792156 (rounded to 6 decimal places). In simplest radical form it is 8ā26.
Is 1664 a perfect square?
No. It lies between 40Ā² = 1600 and 41Ā² = 1681.
What is 1664 squared?
1664 Ć 1664 = 2768896.
What is the square root of 1664 rounded to 2 decimals?
40.79.