Square root of 8204

The square root of 8204 is 90.575935 (rounded to 6 decimal places). In simplest radical form it is 2√2051.

Square root of 8204

Pick any whole number from 1 to 10,000.

\sqrt{8204} = 2\sqrt{2051} \approx 90.575935

How to work it out

1
The square root of 8204 is the number that multiplied by itself gives 8204.
2
8204 is between the perfect squares 90² = 8100 and 91² = 8281, so its square root is between 90 and 91.
3
Pull out the biggest square factor: 8204 = 4 × 2051, so
$\sqrt{8204} = \sqrt{4 \times 2051} = 2\sqrt{2051}$
4
A calculator, or long division of digits, gives
$\sqrt{8204} \approx 90.575935$

LaTeX source of the formulas on this page

\[ \sqrt{8204} = 2\sqrt{2051} \approx 90.575935 \]
\[ \sqrt{8204} = \sqrt{4 \times 2051} = 2\sqrt{2051} \]
\[ \sqrt{8204} \approx 90.575935 \]

What is the square root of 8204?

The square root of 8204 is 90.575935 (rounded to 6 decimal places). In simplest radical form it is 2√2051.

Is 8204 a perfect square?

No. It lies between 90² = 8100 and 91² = 8281.

What is 8204 squared?

8204 × 8204 = 67305616.

What is the square root of 8204 rounded to 2 decimals?

90.58.