Square root of 3004

The square root of 3004 is 54.808758 (rounded to 6 decimal places). In simplest radical form it is 2√751.

Square root of 3004

Pick any whole number from 1 to 10,000.

\sqrt{3004} = 2\sqrt{751} \approx 54.808758

How to work it out

1
The square root of 3004 is the number that multiplied by itself gives 3004.
2
3004 is between the perfect squares 54² = 2916 and 55² = 3025, so its square root is between 54 and 55.
3
Pull out the biggest square factor: 3004 = 4 × 751, so
$\sqrt{3004} = \sqrt{4 \times 751} = 2\sqrt{751}$
4
A calculator, or long division of digits, gives
$\sqrt{3004} \approx 54.808758$

LaTeX source of the formulas on this page

\[ \sqrt{3004} = 2\sqrt{751} \approx 54.808758 \]
\[ \sqrt{3004} = \sqrt{4 \times 751} = 2\sqrt{751} \]
\[ \sqrt{3004} \approx 54.808758 \]

What is the square root of 3004?

The square root of 3004 is 54.808758 (rounded to 6 decimal places). In simplest radical form it is 2√751.

Is 3004 a perfect square?

No. It lies between 54² = 2916 and 55² = 3025.

What is 3004 squared?

3004 × 3004 = 9024016.

What is the square root of 3004 rounded to 2 decimals?

54.81.