Square root of 5616

The square root of 5616 is 74.939976 (rounded to 6 decimal places). In simplest radical form it is 12√39.

Square root of 5616

Pick any whole number from 1 to 10,000.

\sqrt{5616} = 12\sqrt{39} \approx 74.939976

How to work it out

1
The square root of 5616 is the number that multiplied by itself gives 5616.
2
5616 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: 5616 = 144 × 39, so
$\sqrt{5616} = \sqrt{144 \times 39} = 12\sqrt{39}$
4
A calculator, or long division of digits, gives
$\sqrt{5616} \approx 74.939976$

LaTeX source of the formulas on this page

\[ \sqrt{5616} = 12\sqrt{39} \approx 74.939976 \]
\[ \sqrt{5616} = \sqrt{144 \times 39} = 12\sqrt{39} \]
\[ \sqrt{5616} \approx 74.939976 \]

What is the square root of 5616?

The square root of 5616 is 74.939976 (rounded to 6 decimal places). In simplest radical form it is 12√39.

Is 5616 a perfect square?

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

What is 5616 squared?

5616 × 5616 = 31539456.

What is the square root of 5616 rounded to 2 decimals?

74.94.