Square root of 8996

The square root of 8996 is 94.847246 (rounded to 6 decimal places). In simplest radical form it is 2√2249.

Square root of 8996

Pick any whole number from 1 to 10,000.

\sqrt{8996} = 2\sqrt{2249} \approx 94.847246

How to work it out

1
The square root of 8996 is the number that multiplied by itself gives 8996.
2
8996 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: 8996 = 4 × 2249, so
$\sqrt{8996} = \sqrt{4 \times 2249} = 2\sqrt{2249}$
4
A calculator, or long division of digits, gives
$\sqrt{8996} \approx 94.847246$

LaTeX source of the formulas on this page

\[ \sqrt{8996} = 2\sqrt{2249} \approx 94.847246 \]
\[ \sqrt{8996} = \sqrt{4 \times 2249} = 2\sqrt{2249} \]
\[ \sqrt{8996} \approx 94.847246 \]

What is the square root of 8996?

The square root of 8996 is 94.847246 (rounded to 6 decimal places). In simplest radical form it is 2√2249.

Is 8996 a perfect square?

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

What is 8996 squared?

8996 × 8996 = 80928016.

What is the square root of 8996 rounded to 2 decimals?

94.85.