Square root of 9999

The square root of 9999 is 99.995 (rounded to 6 decimal places). In simplest radical form it is 3√1111.

Square root of 9999

Pick any whole number from 1 to 10,000.

\sqrt{9999} = 3\sqrt{1111} \approx 99.995

How to work it out

1
The square root of 9999 is the number that multiplied by itself gives 9999.
2
9999 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: 9999 = 9 × 1111, so
$\sqrt{9999} = \sqrt{9 \times 1111} = 3\sqrt{1111}$
4
A calculator, or long division of digits, gives
$\sqrt{9999} \approx 99.995$

LaTeX source of the formulas on this page

\[ \sqrt{9999} = 3\sqrt{1111} \approx 99.995 \]
\[ \sqrt{9999} = \sqrt{9 \times 1111} = 3\sqrt{1111} \]
\[ \sqrt{9999} \approx 99.995 \]

What is the square root of 9999?

The square root of 9999 is 99.995 (rounded to 6 decimal places). In simplest radical form it is 3√1111.

Is 9999 a perfect square?

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

What is 9999 squared?

9999 × 9999 = 99980001.

What is the square root of 9999 rounded to 2 decimals?

99.99.