Square root of 5584

The square root of 5584 is 74.726167 (rounded to 6 decimal places). In simplest radical form it is 4√349.

Square root of 5584

Pick any whole number from 1 to 10,000.

\sqrt{5584} = 4\sqrt{349} \approx 74.726167

How to work it out

1
The square root of 5584 is the number that multiplied by itself gives 5584.
2
5584 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: 5584 = 16 × 349, so
$\sqrt{5584} = \sqrt{16 \times 349} = 4\sqrt{349}$
4
A calculator, or long division of digits, gives
$\sqrt{5584} \approx 74.726167$

LaTeX source of the formulas on this page

\[ \sqrt{5584} = 4\sqrt{349} \approx 74.726167 \]
\[ \sqrt{5584} = \sqrt{16 \times 349} = 4\sqrt{349} \]
\[ \sqrt{5584} \approx 74.726167 \]

What is the square root of 5584?

The square root of 5584 is 74.726167 (rounded to 6 decimal places). In simplest radical form it is 4√349.

Is 5584 a perfect square?

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

What is 5584 squared?

5584 × 5584 = 31181056.

What is the square root of 5584 rounded to 2 decimals?

74.73.