Square root of 8004

The square root of 8004 is 89.465077 (rounded to 6 decimal places). In simplest radical form it is 2√2001.

Square root of 8004

Pick any whole number from 1 to 10,000.

\sqrt{8004} = 2\sqrt{2001} \approx 89.465077

How to work it out

1
The square root of 8004 is the number that multiplied by itself gives 8004.
2
8004 is between the perfect squares 89² = 7921 and 90² = 8100, so its square root is between 89 and 90.
3
Pull out the biggest square factor: 8004 = 4 × 2001, so
$\sqrt{8004} = \sqrt{4 \times 2001} = 2\sqrt{2001}$
4
A calculator, or long division of digits, gives
$\sqrt{8004} \approx 89.465077$

LaTeX source of the formulas on this page

\[ \sqrt{8004} = 2\sqrt{2001} \approx 89.465077 \]
\[ \sqrt{8004} = \sqrt{4 \times 2001} = 2\sqrt{2001} \]
\[ \sqrt{8004} \approx 89.465077 \]

What is the square root of 8004?

The square root of 8004 is 89.465077 (rounded to 6 decimal places). In simplest radical form it is 2√2001.

Is 8004 a perfect square?

No. It lies between 89² = 7921 and 90² = 8100.

What is 8004 squared?

8004 × 8004 = 64064016.

What is the square root of 8004 rounded to 2 decimals?

89.47.