Square root of 8984

The square root of 8984 is 94.783965 (rounded to 6 decimal places). In simplest radical form it is 2√2246.

Square root of 8984

Pick any whole number from 1 to 10,000.

\sqrt{8984} = 2\sqrt{2246} \approx 94.783965

How to work it out

1
The square root of 8984 is the number that multiplied by itself gives 8984.
2
8984 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: 8984 = 4 × 2246, so
$\sqrt{8984} = \sqrt{4 \times 2246} = 2\sqrt{2246}$
4
A calculator, or long division of digits, gives
$\sqrt{8984} \approx 94.783965$

LaTeX source of the formulas on this page

\[ \sqrt{8984} = 2\sqrt{2246} \approx 94.783965 \]
\[ \sqrt{8984} = \sqrt{4 \times 2246} = 2\sqrt{2246} \]
\[ \sqrt{8984} \approx 94.783965 \]

What is the square root of 8984?

The square root of 8984 is 94.783965 (rounded to 6 decimal places). In simplest radical form it is 2√2246.

Is 8984 a perfect square?

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

What is 8984 squared?

8984 × 8984 = 80712256.

What is the square root of 8984 rounded to 2 decimals?

94.78.