Square root of 9009

The square root of 9009 is 94.915752 (rounded to 6 decimal places). In simplest radical form it is 3√1001.

Square root of 9009

Pick any whole number from 1 to 10,000.

\sqrt{9009} = 3\sqrt{1001} \approx 94.915752

How to work it out

1
The square root of 9009 is the number that multiplied by itself gives 9009.
2
9009 is between the perfect squares 94² = 8836 and 95² = 9025, so its square root is between 94 and 95.
3
Pull out the biggest square factor: 9009 = 9 × 1001, so
$\sqrt{9009} = \sqrt{9 \times 1001} = 3\sqrt{1001}$
4
A calculator, or long division of digits, gives
$\sqrt{9009} \approx 94.915752$

LaTeX source of the formulas on this page

\[ \sqrt{9009} = 3\sqrt{1001} \approx 94.915752 \]
\[ \sqrt{9009} = \sqrt{9 \times 1001} = 3\sqrt{1001} \]
\[ \sqrt{9009} \approx 94.915752 \]

What is the square root of 9009?

The square root of 9009 is 94.915752 (rounded to 6 decimal places). In simplest radical form it is 3√1001.

Is 9009 a perfect square?

No. It lies between 94² = 8836 and 95² = 9025.

What is 9009 squared?

9009 × 9009 = 81162081.

What is the square root of 9009 rounded to 2 decimals?

94.92.