Square root of 8982

The square root of 8982 is 94.773414 (rounded to 6 decimal places). In simplest radical form it is 3√998.

Square root of 8982

Pick any whole number from 1 to 10,000.

\sqrt{8982} = 3\sqrt{998} \approx 94.773414

How to work it out

1
The square root of 8982 is the number that multiplied by itself gives 8982.
2
8982 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: 8982 = 9 × 998, so
$\sqrt{8982} = \sqrt{9 \times 998} = 3\sqrt{998}$
4
A calculator, or long division of digits, gives
$\sqrt{8982} \approx 94.773414$

LaTeX source of the formulas on this page

\[ \sqrt{8982} = 3\sqrt{998} \approx 94.773414 \]
\[ \sqrt{8982} = \sqrt{9 \times 998} = 3\sqrt{998} \]
\[ \sqrt{8982} \approx 94.773414 \]

What is the square root of 8982?

The square root of 8982 is 94.773414 (rounded to 6 decimal places). In simplest radical form it is 3√998.

Is 8982 a perfect square?

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

What is 8982 squared?

8982 × 8982 = 80676324.

What is the square root of 8982 rounded to 2 decimals?

94.77.