Square root of 8946

The square root of 8946 is 94.583297 (rounded to 6 decimal places). In simplest radical form it is 3√994.

Square root of 8946

Pick any whole number from 1 to 10,000.

\sqrt{8946} = 3\sqrt{994} \approx 94.583297

How to work it out

1
The square root of 8946 is the number that multiplied by itself gives 8946.
2
8946 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: 8946 = 9 × 994, so
$\sqrt{8946} = \sqrt{9 \times 994} = 3\sqrt{994}$
4
A calculator, or long division of digits, gives
$\sqrt{8946} \approx 94.583297$

LaTeX source of the formulas on this page

\[ \sqrt{8946} = 3\sqrt{994} \approx 94.583297 \]
\[ \sqrt{8946} = \sqrt{9 \times 994} = 3\sqrt{994} \]
\[ \sqrt{8946} \approx 94.583297 \]

What is the square root of 8946?

The square root of 8946 is 94.583297 (rounded to 6 decimal places). In simplest radical form it is 3√994.

Is 8946 a perfect square?

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

What is 8946 squared?

8946 × 8946 = 80030916.

What is the square root of 8946 rounded to 2 decimals?

94.58.