Square root of 9956

The square root of 9956 is 99.779757 (rounded to 6 decimal places). In simplest radical form it is 2√2489.

Square root of 9956

Pick any whole number from 1 to 10,000.

\sqrt{9956} = 2\sqrt{2489} \approx 99.779757

How to work it out

1
The square root of 9956 is the number that multiplied by itself gives 9956.
2
9956 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: 9956 = 4 × 2489, so
$\sqrt{9956} = \sqrt{4 \times 2489} = 2\sqrt{2489}$
4
A calculator, or long division of digits, gives
$\sqrt{9956} \approx 99.779757$

LaTeX source of the formulas on this page

\[ \sqrt{9956} = 2\sqrt{2489} \approx 99.779757 \]
\[ \sqrt{9956} = \sqrt{4 \times 2489} = 2\sqrt{2489} \]
\[ \sqrt{9956} \approx 99.779757 \]

What is the square root of 9956?

The square root of 9956 is 99.779757 (rounded to 6 decimal places). In simplest radical form it is 2√2489.

Is 9956 a perfect square?

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

What is 9956 squared?

9956 × 9956 = 99121936.

What is the square root of 9956 rounded to 2 decimals?

99.78.