Square root of 8664

The square root of 8664 is 93.08061 (rounded to 6 decimal places). In simplest radical form it is 38√6.

Square root of 8664

Pick any whole number from 1 to 10,000.

\sqrt{8664} = 38\sqrt{6} \approx 93.08061

How to work it out

1
The square root of 8664 is the number that multiplied by itself gives 8664.
2
8664 is between the perfect squares 93² = 8649 and 94² = 8836, so its square root is between 93 and 94.
3
Pull out the biggest square factor: 8664 = 1444 × 6, so
$\sqrt{8664} = \sqrt{1444 \times 6} = 38\sqrt{6}$
4
A calculator, or long division of digits, gives
$\sqrt{8664} \approx 93.08061$

LaTeX source of the formulas on this page

\[ \sqrt{8664} = 38\sqrt{6} \approx 93.08061 \]
\[ \sqrt{8664} = \sqrt{1444 \times 6} = 38\sqrt{6} \]
\[ \sqrt{8664} \approx 93.08061 \]

What is the square root of 8664?

The square root of 8664 is 93.08061 (rounded to 6 decimal places). In simplest radical form it is 38√6.

Is 8664 a perfect square?

No. It lies between 93² = 8649 and 94² = 8836.

What is 8664 squared?

8664 × 8664 = 75064896.

What is the square root of 8664 rounded to 2 decimals?

93.08.