Square root of 5504

The square root of 5504 is 74.188948 (rounded to 6 decimal places). In simplest radical form it is 8√86.

Square root of 5504

Pick any whole number from 1 to 10,000.

\sqrt{5504} = 8\sqrt{86} \approx 74.188948

How to work it out

1
The square root of 5504 is the number that multiplied by itself gives 5504.
2
5504 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: 5504 = 64 × 86, so
$\sqrt{5504} = \sqrt{64 \times 86} = 8\sqrt{86}$
4
A calculator, or long division of digits, gives
$\sqrt{5504} \approx 74.188948$

LaTeX source of the formulas on this page

\[ \sqrt{5504} = 8\sqrt{86} \approx 74.188948 \]
\[ \sqrt{5504} = \sqrt{64 \times 86} = 8\sqrt{86} \]
\[ \sqrt{5504} \approx 74.188948 \]

What is the square root of 5504?

The square root of 5504 is 74.188948 (rounded to 6 decimal places). In simplest radical form it is 8√86.

Is 5504 a perfect square?

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

What is 5504 squared?

5504 × 5504 = 30294016.

What is the square root of 5504 rounded to 2 decimals?

74.19.