Square root of 9964

The square root of 9964 is 99.819838 (rounded to 6 decimal places). In simplest radical form it is 2√2491.

Square root of 9964

Pick any whole number from 1 to 10,000.

\sqrt{9964} = 2\sqrt{2491} \approx 99.819838

How to work it out

1
The square root of 9964 is the number that multiplied by itself gives 9964.
2
9964 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: 9964 = 4 × 2491, so
$\sqrt{9964} = \sqrt{4 \times 2491} = 2\sqrt{2491}$
4
A calculator, or long division of digits, gives
$\sqrt{9964} \approx 99.819838$

LaTeX source of the formulas on this page

\[ \sqrt{9964} = 2\sqrt{2491} \approx 99.819838 \]
\[ \sqrt{9964} = \sqrt{4 \times 2491} = 2\sqrt{2491} \]
\[ \sqrt{9964} \approx 99.819838 \]

What is the square root of 9964?

The square root of 9964 is 99.819838 (rounded to 6 decimal places). In simplest radical form it is 2√2491.

Is 9964 a perfect square?

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

What is 9964 squared?

9964 × 9964 = 99281296.

What is the square root of 9964 rounded to 2 decimals?

99.82.