Square root of 6624

The square root of 6624 is 81.38796 (rounded to 6 decimal places). In simplest radical form it is 12√46.

Square root of 6624

Pick any whole number from 1 to 10,000.

\sqrt{6624} = 12\sqrt{46} \approx 81.38796

How to work it out

1
The square root of 6624 is the number that multiplied by itself gives 6624.
2
6624 is between the perfect squares 81² = 6561 and 82² = 6724, so its square root is between 81 and 82.
3
Pull out the biggest square factor: 6624 = 144 × 46, so
$\sqrt{6624} = \sqrt{144 \times 46} = 12\sqrt{46}$
4
A calculator, or long division of digits, gives
$\sqrt{6624} \approx 81.38796$

LaTeX source of the formulas on this page

\[ \sqrt{6624} = 12\sqrt{46} \approx 81.38796 \]
\[ \sqrt{6624} = \sqrt{144 \times 46} = 12\sqrt{46} \]
\[ \sqrt{6624} \approx 81.38796 \]

What is the square root of 6624?

The square root of 6624 is 81.38796 (rounded to 6 decimal places). In simplest radical form it is 12√46.

Is 6624 a perfect square?

No. It lies between 81² = 6561 and 82² = 6724.

What is 6624 squared?

6624 × 6624 = 43877376.

What is the square root of 6624 rounded to 2 decimals?

81.39.