Square root of 8901

The square root of 8901 is 94.345111 (rounded to 6 decimal places). In simplest radical form it is 3√989.

Square root of 8901

Pick any whole number from 1 to 10,000.

\sqrt{8901} = 3\sqrt{989} \approx 94.345111

How to work it out

1
The square root of 8901 is the number that multiplied by itself gives 8901.
2
8901 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: 8901 = 9 × 989, so
$\sqrt{8901} = \sqrt{9 \times 989} = 3\sqrt{989}$
4
A calculator, or long division of digits, gives
$\sqrt{8901} \approx 94.345111$

LaTeX source of the formulas on this page

\[ \sqrt{8901} = 3\sqrt{989} \approx 94.345111 \]
\[ \sqrt{8901} = \sqrt{9 \times 989} = 3\sqrt{989} \]
\[ \sqrt{8901} \approx 94.345111 \]

What is the square root of 8901?

The square root of 8901 is 94.345111 (rounded to 6 decimal places). In simplest radical form it is 3√989.

Is 8901 a perfect square?

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

What is 8901 squared?

8901 × 8901 = 79227801.

What is the square root of 8901 rounded to 2 decimals?

94.35.