Square root of 5536

The square root of 5536 is 74.404301 (rounded to 6 decimal places). In simplest radical form it is 4√346.

Square root of 5536

Pick any whole number from 1 to 10,000.

\sqrt{5536} = 4\sqrt{346} \approx 74.404301

How to work it out

1
The square root of 5536 is the number that multiplied by itself gives 5536.
2
5536 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: 5536 = 16 × 346, so
$\sqrt{5536} = \sqrt{16 \times 346} = 4\sqrt{346}$
4
A calculator, or long division of digits, gives
$\sqrt{5536} \approx 74.404301$

LaTeX source of the formulas on this page

\[ \sqrt{5536} = 4\sqrt{346} \approx 74.404301 \]
\[ \sqrt{5536} = \sqrt{16 \times 346} = 4\sqrt{346} \]
\[ \sqrt{5536} \approx 74.404301 \]

What is the square root of 5536?

The square root of 5536 is 74.404301 (rounded to 6 decimal places). In simplest radical form it is 4√346.

Is 5536 a perfect square?

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

What is 5536 squared?

5536 × 5536 = 30647296.

What is the square root of 5536 rounded to 2 decimals?

74.40.