Square root of 8991

The square root of 8991 is 94.820884 (rounded to 6 decimal places). In simplest radical form it is 9√111.

Square root of 8991

Pick any whole number from 1 to 10,000.

\sqrt{8991} = 9\sqrt{111} \approx 94.820884

How to work it out

1
The square root of 8991 is the number that multiplied by itself gives 8991.
2
8991 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: 8991 = 81 × 111, so
$\sqrt{8991} = \sqrt{81 \times 111} = 9\sqrt{111}$
4
A calculator, or long division of digits, gives
$\sqrt{8991} \approx 94.820884$

LaTeX source of the formulas on this page

\[ \sqrt{8991} = 9\sqrt{111} \approx 94.820884 \]
\[ \sqrt{8991} = \sqrt{81 \times 111} = 9\sqrt{111} \]
\[ \sqrt{8991} \approx 94.820884 \]

What is the square root of 8991?

The square root of 8991 is 94.820884 (rounded to 6 decimal places). In simplest radical form it is 9√111.

Is 8991 a perfect square?

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

What is 8991 squared?

8991 × 8991 = 80838081.

What is the square root of 8991 rounded to 2 decimals?

94.82.