Square root of 6004

The square root of 6004 is 77.485483 (rounded to 6 decimal places). In simplest radical form it is 2√1501.

Square root of 6004

Pick any whole number from 1 to 10,000.

\sqrt{6004} = 2\sqrt{1501} \approx 77.485483

How to work it out

1
The square root of 6004 is the number that multiplied by itself gives 6004.
2
6004 is between the perfect squares 77² = 5929 and 78² = 6084, so its square root is between 77 and 78.
3
Pull out the biggest square factor: 6004 = 4 × 1501, so
$\sqrt{6004} = \sqrt{4 \times 1501} = 2\sqrt{1501}$
4
A calculator, or long division of digits, gives
$\sqrt{6004} \approx 77.485483$

LaTeX source of the formulas on this page

\[ \sqrt{6004} = 2\sqrt{1501} \approx 77.485483 \]
\[ \sqrt{6004} = \sqrt{4 \times 1501} = 2\sqrt{1501} \]
\[ \sqrt{6004} \approx 77.485483 \]

What is the square root of 6004?

The square root of 6004 is 77.485483 (rounded to 6 decimal places). In simplest radical form it is 2√1501.

Is 6004 a perfect square?

No. It lies between 77² = 5929 and 78² = 6084.

What is 6004 squared?

6004 × 6004 = 36048016.

What is the square root of 6004 rounded to 2 decimals?

77.49.