Square root of 9916

The square root of 9916 is 99.579114 (rounded to 6 decimal places). In simplest radical form it is 2√2479.

Square root of 9916

Pick any whole number from 1 to 10,000.

\sqrt{9916} = 2\sqrt{2479} \approx 99.579114

How to work it out

1
The square root of 9916 is the number that multiplied by itself gives 9916.
2
9916 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: 9916 = 4 × 2479, so
$\sqrt{9916} = \sqrt{4 \times 2479} = 2\sqrt{2479}$
4
A calculator, or long division of digits, gives
$\sqrt{9916} \approx 99.579114$

LaTeX source of the formulas on this page

\[ \sqrt{9916} = 2\sqrt{2479} \approx 99.579114 \]
\[ \sqrt{9916} = \sqrt{4 \times 2479} = 2\sqrt{2479} \]
\[ \sqrt{9916} \approx 99.579114 \]

What is the square root of 9916?

The square root of 9916 is 99.579114 (rounded to 6 decimal places). In simplest radical form it is 2√2479.

Is 9916 a perfect square?

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

What is 9916 squared?

9916 × 9916 = 98327056.

What is the square root of 9916 rounded to 2 decimals?

99.58.