Square root of 1564
The square root of 1564 is 39.54744 (rounded to 6 decimal places). In simplest radical form it is 2ā391.
Square root of 1564
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 1564 is the number that multiplied by itself gives 1564.
- 2
1564 is between the perfect squares 39Ā² = 1521 and 40Ā² = 1600, so its square root is between 39 and 40.
- 3
Pull out the biggest square factor: 1564 = 4 Ć 391, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{1564} = 2\sqrt{391} \approx 39.54744 \]
\[ \sqrt{1564} = \sqrt{4 \times 391} = 2\sqrt{391} \]
\[ \sqrt{1564} \approx 39.54744 \]Squares around 1564
| Number | Squared |
|---|---|
| 38 | 1444 |
| 39 | 1521 |
| 40 | 1600 |
| 41 | 1681 |
Questions
What is the square root of 1564?
The square root of 1564 is 39.54744 (rounded to 6 decimal places). In simplest radical form it is 2ā391.
Is 1564 a perfect square?
No. It lies between 39Ā² = 1521 and 40Ā² = 1600.
What is 1564 squared?
1564 Ć 1564 = 2446096.
What is the square root of 1564 rounded to 2 decimals?
39.55.