Square root of 8896

The square root of 8896 is 94.318609 (rounded to 6 decimal places). In simplest radical form it is 8√139.

Square root of 8896

Pick any whole number from 1 to 10,000.

\sqrt{8896} = 8\sqrt{139} \approx 94.318609

How to work it out

1
The square root of 8896 is the number that multiplied by itself gives 8896.
2
8896 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: 8896 = 64 × 139, so
$\sqrt{8896} = \sqrt{64 \times 139} = 8\sqrt{139}$
4
A calculator, or long division of digits, gives
$\sqrt{8896} \approx 94.318609$

LaTeX source of the formulas on this page

\[ \sqrt{8896} = 8\sqrt{139} \approx 94.318609 \]
\[ \sqrt{8896} = \sqrt{64 \times 139} = 8\sqrt{139} \]
\[ \sqrt{8896} \approx 94.318609 \]

What is the square root of 8896?

The square root of 8896 is 94.318609 (rounded to 6 decimal places). In simplest radical form it is 8√139.

Is 8896 a perfect square?

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

What is 8896 squared?

8896 × 8896 = 79138816.

What is the square root of 8896 rounded to 2 decimals?

94.32.