Square root of 8960

The square root of 8960 is 94.657277 (rounded to 6 decimal places). In simplest radical form it is 16√35.

Square root of 8960

Pick any whole number from 1 to 10,000.

\sqrt{8960} = 16\sqrt{35} \approx 94.657277

How to work it out

1
The square root of 8960 is the number that multiplied by itself gives 8960.
2
8960 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: 8960 = 256 × 35, so
$\sqrt{8960} = \sqrt{256 \times 35} = 16\sqrt{35}$
4
A calculator, or long division of digits, gives
$\sqrt{8960} \approx 94.657277$

LaTeX source of the formulas on this page

\[ \sqrt{8960} = 16\sqrt{35} \approx 94.657277 \]
\[ \sqrt{8960} = \sqrt{256 \times 35} = 16\sqrt{35} \]
\[ \sqrt{8960} \approx 94.657277 \]

What is the square root of 8960?

The square root of 8960 is 94.657277 (rounded to 6 decimal places). In simplest radical form it is 16√35.

Is 8960 a perfect square?

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

What is 8960 squared?

8960 × 8960 = 80281600.

What is the square root of 8960 rounded to 2 decimals?

94.66.