Square root of 9992

The square root of 9992 is 99.959992 (rounded to 6 decimal places). In simplest radical form it is 2√2498.

Square root of 9992

Pick any whole number from 1 to 10,000.

\sqrt{9992} = 2\sqrt{2498} \approx 99.959992

How to work it out

1
The square root of 9992 is the number that multiplied by itself gives 9992.
2
9992 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: 9992 = 4 × 2498, so
$\sqrt{9992} = \sqrt{4 \times 2498} = 2\sqrt{2498}$
4
A calculator, or long division of digits, gives
$\sqrt{9992} \approx 99.959992$

LaTeX source of the formulas on this page

\[ \sqrt{9992} = 2\sqrt{2498} \approx 99.959992 \]
\[ \sqrt{9992} = \sqrt{4 \times 2498} = 2\sqrt{2498} \]
\[ \sqrt{9992} \approx 99.959992 \]

What is the square root of 9992?

The square root of 9992 is 99.959992 (rounded to 6 decimal places). In simplest radical form it is 2√2498.

Is 9992 a perfect square?

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

What is 9992 squared?

9992 × 9992 = 99840064.

What is the square root of 9992 rounded to 2 decimals?

99.96.