Square root of 5540

The square root of 5540 is 74.431176 (rounded to 6 decimal places). In simplest radical form it is 2√1385.

Square root of 5540

Pick any whole number from 1 to 10,000.

\sqrt{5540} = 2\sqrt{1385} \approx 74.431176

How to work it out

1
The square root of 5540 is the number that multiplied by itself gives 5540.
2
5540 is between the perfect squares 74² = 5476 and 75² = 5625, so its square root is between 74 and 75.
3
Pull out the biggest square factor: 5540 = 4 × 1385, so
$\sqrt{5540} = \sqrt{4 \times 1385} = 2\sqrt{1385}$
4
A calculator, or long division of digits, gives
$\sqrt{5540} \approx 74.431176$

LaTeX source of the formulas on this page

\[ \sqrt{5540} = 2\sqrt{1385} \approx 74.431176 \]
\[ \sqrt{5540} = \sqrt{4 \times 1385} = 2\sqrt{1385} \]
\[ \sqrt{5540} \approx 74.431176 \]

What is the square root of 5540?

The square root of 5540 is 74.431176 (rounded to 6 decimal places). In simplest radical form it is 2√1385.

Is 5540 a perfect square?

No. It lies between 74² = 5476 and 75² = 5625.

What is 5540 squared?

5540 × 5540 = 30691600.

What is the square root of 5540 rounded to 2 decimals?

74.43.