Square root of 9996

The square root of 9996 is 99.979998 (rounded to 6 decimal places). In simplest radical form it is 14√51.

Square root of 9996

Pick any whole number from 1 to 10,000.

\sqrt{9996} = 14\sqrt{51} \approx 99.979998

How to work it out

1
The square root of 9996 is the number that multiplied by itself gives 9996.
2
9996 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: 9996 = 196 × 51, so
$\sqrt{9996} = \sqrt{196 \times 51} = 14\sqrt{51}$
4
A calculator, or long division of digits, gives
$\sqrt{9996} \approx 99.979998$

LaTeX source of the formulas on this page

\[ \sqrt{9996} = 14\sqrt{51} \approx 99.979998 \]
\[ \sqrt{9996} = \sqrt{196 \times 51} = 14\sqrt{51} \]
\[ \sqrt{9996} \approx 99.979998 \]

What is the square root of 9996?

The square root of 9996 is 99.979998 (rounded to 6 decimal places). In simplest radical form it is 14√51.

Is 9996 a perfect square?

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

What is 9996 squared?

9996 × 9996 = 99920016.

What is the square root of 9996 rounded to 2 decimals?

99.98.