Square root of 3540

The square root of 3540 is 59.497899 (rounded to 6 decimal places). In simplest radical form it is 2√885.

Square root of 3540

Pick any whole number from 1 to 10,000.

\sqrt{3540} = 2\sqrt{885} \approx 59.497899

How to work it out

1
The square root of 3540 is the number that multiplied by itself gives 3540.
2
3540 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: 3540 = 4 × 885, so
$\sqrt{3540} = \sqrt{4 \times 885} = 2\sqrt{885}$
4
A calculator, or long division of digits, gives
$\sqrt{3540} \approx 59.497899$

LaTeX source of the formulas on this page

\[ \sqrt{3540} = 2\sqrt{885} \approx 59.497899 \]
\[ \sqrt{3540} = \sqrt{4 \times 885} = 2\sqrt{885} \]
\[ \sqrt{3540} \approx 59.497899 \]

What is the square root of 3540?

The square root of 3540 is 59.497899 (rounded to 6 decimal places). In simplest radical form it is 2√885.

Is 3540 a perfect square?

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

What is 3540 squared?

3540 × 3540 = 12531600.

What is the square root of 3540 rounded to 2 decimals?

59.50.