Square root of 4004

The square root of 4004 is 63.277168 (rounded to 6 decimal places). In simplest radical form it is 2√1001.

Square root of 4004

Pick any whole number from 1 to 10,000.

\sqrt{4004} = 2\sqrt{1001} \approx 63.277168

How to work it out

1
The square root of 4004 is the number that multiplied by itself gives 4004.
2
4004 is between the perfect squares 63² = 3969 and 64² = 4096, so its square root is between 63 and 64.
3
Pull out the biggest square factor: 4004 = 4 × 1001, so
$\sqrt{4004} = \sqrt{4 \times 1001} = 2\sqrt{1001}$
4
A calculator, or long division of digits, gives
$\sqrt{4004} \approx 63.277168$

LaTeX source of the formulas on this page

\[ \sqrt{4004} = 2\sqrt{1001} \approx 63.277168 \]
\[ \sqrt{4004} = \sqrt{4 \times 1001} = 2\sqrt{1001} \]
\[ \sqrt{4004} \approx 63.277168 \]

What is the square root of 4004?

The square root of 4004 is 63.277168 (rounded to 6 decimal places). In simplest radical form it is 2√1001.

Is 4004 a perfect square?

No. It lies between 63² = 3969 and 64² = 4096.

What is 4004 squared?

4004 × 4004 = 16032016.

What is the square root of 4004 rounded to 2 decimals?

63.28.