Square root of 8096

The square root of 8096 is 89.977775 (rounded to 6 decimal places). In simplest radical form it is 4√506.

Square root of 8096

Pick any whole number from 1 to 10,000.

\sqrt{8096} = 4\sqrt{506} \approx 89.977775

How to work it out

1
The square root of 8096 is the number that multiplied by itself gives 8096.
2
8096 is between the perfect squares 89² = 7921 and 90² = 8100, so its square root is between 89 and 90.
3
Pull out the biggest square factor: 8096 = 16 × 506, so
$\sqrt{8096} = \sqrt{16 \times 506} = 4\sqrt{506}$
4
A calculator, or long division of digits, gives
$\sqrt{8096} \approx 89.977775$

LaTeX source of the formulas on this page

\[ \sqrt{8096} = 4\sqrt{506} \approx 89.977775 \]
\[ \sqrt{8096} = \sqrt{16 \times 506} = 4\sqrt{506} \]
\[ \sqrt{8096} \approx 89.977775 \]

What is the square root of 8096?

The square root of 8096 is 89.977775 (rounded to 6 decimal places). In simplest radical form it is 4√506.

Is 8096 a perfect square?

No. It lies between 89² = 7921 and 90² = 8100.

What is 8096 squared?

8096 × 8096 = 65545216.

What is the square root of 8096 rounded to 2 decimals?

89.98.