Square root of 3564

The square root of 3564 is 59.699246 (rounded to 6 decimal places). In simplest radical form it is 18√11.

Square root of 3564

Pick any whole number from 1 to 10,000.

\sqrt{3564} = 18\sqrt{11} \approx 59.699246

How to work it out

1
The square root of 3564 is the number that multiplied by itself gives 3564.
2
3564 is between the perfect squares 59² = 3481 and 60² = 3600, so its square root is between 59 and 60.
3
Pull out the biggest square factor: 3564 = 324 × 11, so
$\sqrt{3564} = \sqrt{324 \times 11} = 18\sqrt{11}$
4
A calculator, or long division of digits, gives
$\sqrt{3564} \approx 59.699246$

LaTeX source of the formulas on this page

\[ \sqrt{3564} = 18\sqrt{11} \approx 59.699246 \]
\[ \sqrt{3564} = \sqrt{324 \times 11} = 18\sqrt{11} \]
\[ \sqrt{3564} \approx 59.699246 \]

What is the square root of 3564?

The square root of 3564 is 59.699246 (rounded to 6 decimal places). In simplest radical form it is 18√11.

Is 3564 a perfect square?

No. It lies between 59² = 3481 and 60² = 3600.

What is 3564 squared?

3564 × 3564 = 12702096.

What is the square root of 3564 rounded to 2 decimals?

59.70.