Square root of 8404

The square root of 8404 is 91.673333 (rounded to 6 decimal places). In simplest radical form it is 2√2101.

Square root of 8404

Pick any whole number from 1 to 10,000.

\sqrt{8404} = 2\sqrt{2101} \approx 91.673333

How to work it out

1
The square root of 8404 is the number that multiplied by itself gives 8404.
2
8404 is between the perfect squares 91² = 8281 and 92² = 8464, so its square root is between 91 and 92.
3
Pull out the biggest square factor: 8404 = 4 × 2101, so
$\sqrt{8404} = \sqrt{4 \times 2101} = 2\sqrt{2101}$
4
A calculator, or long division of digits, gives
$\sqrt{8404} \approx 91.673333$

LaTeX source of the formulas on this page

\[ \sqrt{8404} = 2\sqrt{2101} \approx 91.673333 \]
\[ \sqrt{8404} = \sqrt{4 \times 2101} = 2\sqrt{2101} \]
\[ \sqrt{8404} \approx 91.673333 \]

What is the square root of 8404?

The square root of 8404 is 91.673333 (rounded to 6 decimal places). In simplest radical form it is 2√2101.

Is 8404 a perfect square?

No. It lies between 91² = 8281 and 92² = 8464.

What is 8404 squared?

8404 × 8404 = 70627216.

What is the square root of 8404 rounded to 2 decimals?

91.67.