Square root of 5004

The square root of 5004 is 70.738957 (rounded to 6 decimal places). In simplest radical form it is 6√139.

Square root of 5004

Pick any whole number from 1 to 10,000.

\sqrt{5004} = 6\sqrt{139} \approx 70.738957

How to work it out

1
The square root of 5004 is the number that multiplied by itself gives 5004.
2
5004 is between the perfect squares 70² = 4900 and 71² = 5041, so its square root is between 70 and 71.
3
Pull out the biggest square factor: 5004 = 36 × 139, so
$\sqrt{5004} = \sqrt{36 \times 139} = 6\sqrt{139}$
4
A calculator, or long division of digits, gives
$\sqrt{5004} \approx 70.738957$

LaTeX source of the formulas on this page

\[ \sqrt{5004} = 6\sqrt{139} \approx 70.738957 \]
\[ \sqrt{5004} = \sqrt{36 \times 139} = 6\sqrt{139} \]
\[ \sqrt{5004} \approx 70.738957 \]

What is the square root of 5004?

The square root of 5004 is 70.738957 (rounded to 6 decimal places). In simplest radical form it is 6√139.

Is 5004 a perfect square?

No. It lies between 70² = 4900 and 71² = 5041.

What is 5004 squared?

5004 × 5004 = 25040016.

What is the square root of 5004 rounded to 2 decimals?

70.74.