Square root of 8916

The square root of 8916 is 94.424573 (rounded to 6 decimal places). In simplest radical form it is 2√2229.

Square root of 8916

Pick any whole number from 1 to 10,000.

\sqrt{8916} = 2\sqrt{2229} \approx 94.424573

How to work it out

1
The square root of 8916 is the number that multiplied by itself gives 8916.
2
8916 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: 8916 = 4 × 2229, so
$\sqrt{8916} = \sqrt{4 \times 2229} = 2\sqrt{2229}$
4
A calculator, or long division of digits, gives
$\sqrt{8916} \approx 94.424573$

LaTeX source of the formulas on this page

\[ \sqrt{8916} = 2\sqrt{2229} \approx 94.424573 \]
\[ \sqrt{8916} = \sqrt{4 \times 2229} = 2\sqrt{2229} \]
\[ \sqrt{8916} \approx 94.424573 \]

What is the square root of 8916?

The square root of 8916 is 94.424573 (rounded to 6 decimal places). In simplest radical form it is 2√2229.

Is 8916 a perfect square?

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

What is 8916 squared?

8916 × 8916 = 79495056.

What is the square root of 8916 rounded to 2 decimals?

94.42.