Square root of 8828

The square root of 8828 is 93.957437 (rounded to 6 decimal places). In simplest radical form it is 2√2207.

Square root of 8828

Pick any whole number from 1 to 10,000.

\sqrt{8828} = 2\sqrt{2207} \approx 93.957437

How to work it out

1
The square root of 8828 is the number that multiplied by itself gives 8828.
2
8828 is between the perfect squares 93² = 8649 and 94² = 8836, so its square root is between 93 and 94.
3
Pull out the biggest square factor: 8828 = 4 × 2207, so
$\sqrt{8828} = \sqrt{4 \times 2207} = 2\sqrt{2207}$
4
A calculator, or long division of digits, gives
$\sqrt{8828} \approx 93.957437$

LaTeX source of the formulas on this page

\[ \sqrt{8828} = 2\sqrt{2207} \approx 93.957437 \]
\[ \sqrt{8828} = \sqrt{4 \times 2207} = 2\sqrt{2207} \]
\[ \sqrt{8828} \approx 93.957437 \]

What is the square root of 8828?

The square root of 8828 is 93.957437 (rounded to 6 decimal places). In simplest radical form it is 2√2207.

Is 8828 a perfect square?

No. It lies between 93² = 8649 and 94² = 8836.

What is 8828 squared?

8828 × 8828 = 77933584.

What is the square root of 8828 rounded to 2 decimals?

93.96.