Square root of 9984

The square root of 9984 is 99.919968 (rounded to 6 decimal places). In simplest radical form it is 16√39.

Square root of 9984

Pick any whole number from 1 to 10,000.

\sqrt{9984} = 16\sqrt{39} \approx 99.919968

How to work it out

1
The square root of 9984 is the number that multiplied by itself gives 9984.
2
9984 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: 9984 = 256 × 39, so
$\sqrt{9984} = \sqrt{256 \times 39} = 16\sqrt{39}$
4
A calculator, or long division of digits, gives
$\sqrt{9984} \approx 99.919968$

LaTeX source of the formulas on this page

\[ \sqrt{9984} = 16\sqrt{39} \approx 99.919968 \]
\[ \sqrt{9984} = \sqrt{256 \times 39} = 16\sqrt{39} \]
\[ \sqrt{9984} \approx 99.919968 \]

What is the square root of 9984?

The square root of 9984 is 99.919968 (rounded to 6 decimal places). In simplest radical form it is 16√39.

Is 9984 a perfect square?

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

What is 9984 squared?

9984 × 9984 = 99680256.

What is the square root of 9984 rounded to 2 decimals?

99.92.