Square root of 8872

The square root of 8872 is 94.191295 (rounded to 6 decimal places). In simplest radical form it is 2√2218.

Square root of 8872

Pick any whole number from 1 to 10,000.

\sqrt{8872} = 2\sqrt{2218} \approx 94.191295

How to work it out

1
The square root of 8872 is the number that multiplied by itself gives 8872.
2
8872 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: 8872 = 4 × 2218, so
$\sqrt{8872} = \sqrt{4 \times 2218} = 2\sqrt{2218}$
4
A calculator, or long division of digits, gives
$\sqrt{8872} \approx 94.191295$

LaTeX source of the formulas on this page

\[ \sqrt{8872} = 2\sqrt{2218} \approx 94.191295 \]
\[ \sqrt{8872} = \sqrt{4 \times 2218} = 2\sqrt{2218} \]
\[ \sqrt{8872} \approx 94.191295 \]

What is the square root of 8872?

The square root of 8872 is 94.191295 (rounded to 6 decimal places). In simplest radical form it is 2√2218.

Is 8872 a perfect square?

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

What is 8872 squared?

8872 × 8872 = 78712384.

What is the square root of 8872 rounded to 2 decimals?

94.19.