Square root of 9004

The square root of 9004 is 94.889409 (rounded to 6 decimal places). In simplest radical form it is 2√2251.

Square root of 9004

Pick any whole number from 1 to 10,000.

\sqrt{9004} = 2\sqrt{2251} \approx 94.889409

How to work it out

1
The square root of 9004 is the number that multiplied by itself gives 9004.
2
9004 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: 9004 = 4 × 2251, so
$\sqrt{9004} = \sqrt{4 \times 2251} = 2\sqrt{2251}$
4
A calculator, or long division of digits, gives
$\sqrt{9004} \approx 94.889409$

LaTeX source of the formulas on this page

\[ \sqrt{9004} = 2\sqrt{2251} \approx 94.889409 \]
\[ \sqrt{9004} = \sqrt{4 \times 2251} = 2\sqrt{2251} \]
\[ \sqrt{9004} \approx 94.889409 \]

What is the square root of 9004?

The square root of 9004 is 94.889409 (rounded to 6 decimal places). In simplest radical form it is 2√2251.

Is 9004 a perfect square?

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

What is 9004 squared?

9004 × 9004 = 81072016.

What is the square root of 9004 rounded to 2 decimals?

94.89.