Square root of 8864

The square root of 8864 is 94.148818 (rounded to 6 decimal places). In simplest radical form it is 4√554.

Square root of 8864

Pick any whole number from 1 to 10,000.

\sqrt{8864} = 4\sqrt{554} \approx 94.148818

How to work it out

1
The square root of 8864 is the number that multiplied by itself gives 8864.
2
8864 is between the perfect squares 94² = 8836 and 95² = 9025, so its square root is between 94 and 95.
3
Pull out the biggest square factor: 8864 = 16 × 554, so
$\sqrt{8864} = \sqrt{16 \times 554} = 4\sqrt{554}$
4
A calculator, or long division of digits, gives
$\sqrt{8864} \approx 94.148818$

LaTeX source of the formulas on this page

\[ \sqrt{8864} = 4\sqrt{554} \approx 94.148818 \]
\[ \sqrt{8864} = \sqrt{16 \times 554} = 4\sqrt{554} \]
\[ \sqrt{8864} \approx 94.148818 \]

What is the square root of 8864?

The square root of 8864 is 94.148818 (rounded to 6 decimal places). In simplest radical form it is 4√554.

Is 8864 a perfect square?

No. It lies between 94² = 8836 and 95² = 9025.

What is 8864 squared?

8864 × 8864 = 78570496.

What is the square root of 8864 rounded to 2 decimals?

94.15.