Square root of 8764

The square root of 8764 is 93.616238 (rounded to 6 decimal places). In simplest radical form it is 2√2191.

Square root of 8764

Pick any whole number from 1 to 10,000.

\sqrt{8764} = 2\sqrt{2191} \approx 93.616238

How to work it out

1
The square root of 8764 is the number that multiplied by itself gives 8764.
2
8764 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: 8764 = 4 × 2191, so
$\sqrt{8764} = \sqrt{4 \times 2191} = 2\sqrt{2191}$
4
A calculator, or long division of digits, gives
$\sqrt{8764} \approx 93.616238$

LaTeX source of the formulas on this page

\[ \sqrt{8764} = 2\sqrt{2191} \approx 93.616238 \]
\[ \sqrt{8764} = \sqrt{4 \times 2191} = 2\sqrt{2191} \]
\[ \sqrt{8764} \approx 93.616238 \]

What is the square root of 8764?

The square root of 8764 is 93.616238 (rounded to 6 decimal places). In simplest radical form it is 2√2191.

Is 8764 a perfect square?

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

What is 8764 squared?

8764 × 8764 = 76807696.

What is the square root of 8764 rounded to 2 decimals?

93.62.