Square root of 9904

The square root of 9904 is 99.518842 (rounded to 6 decimal places). In simplest radical form it is 4√619.

Square root of 9904

Pick any whole number from 1 to 10,000.

\sqrt{9904} = 4\sqrt{619} \approx 99.518842

How to work it out

1
The square root of 9904 is the number that multiplied by itself gives 9904.
2
9904 is between the perfect squares 99² = 9801 and 100² = 10000, so its square root is between 99 and 100.
3
Pull out the biggest square factor: 9904 = 16 × 619, so
$\sqrt{9904} = \sqrt{16 \times 619} = 4\sqrt{619}$
4
A calculator, or long division of digits, gives
$\sqrt{9904} \approx 99.518842$

LaTeX source of the formulas on this page

\[ \sqrt{9904} = 4\sqrt{619} \approx 99.518842 \]
\[ \sqrt{9904} = \sqrt{16 \times 619} = 4\sqrt{619} \]
\[ \sqrt{9904} \approx 99.518842 \]

What is the square root of 9904?

The square root of 9904 is 99.518842 (rounded to 6 decimal places). In simplest radical form it is 4√619.

Is 9904 a perfect square?

No. It lies between 99² = 9801 and 100² = 10000.

What is 9904 squared?

9904 × 9904 = 98089216.

What is the square root of 9904 rounded to 2 decimals?

99.52.