Square root of 5204

The square root of 5204 is 72.138755 (rounded to 6 decimal places). In simplest radical form it is 2√1301.

Square root of 5204

Pick any whole number from 1 to 10,000.

\sqrt{5204} = 2\sqrt{1301} \approx 72.138755

How to work it out

1
The square root of 5204 is the number that multiplied by itself gives 5204.
2
5204 is between the perfect squares 72² = 5184 and 73² = 5329, so its square root is between 72 and 73.
3
Pull out the biggest square factor: 5204 = 4 × 1301, so
$\sqrt{5204} = \sqrt{4 \times 1301} = 2\sqrt{1301}$
4
A calculator, or long division of digits, gives
$\sqrt{5204} \approx 72.138755$

LaTeX source of the formulas on this page

\[ \sqrt{5204} = 2\sqrt{1301} \approx 72.138755 \]
\[ \sqrt{5204} = \sqrt{4 \times 1301} = 2\sqrt{1301} \]
\[ \sqrt{5204} \approx 72.138755 \]

What is the square root of 5204?

The square root of 5204 is 72.138755 (rounded to 6 decimal places). In simplest radical form it is 2√1301.

Is 5204 a perfect square?

No. It lies between 72² = 5184 and 73² = 5329.

What is 5204 squared?

5204 × 5204 = 27081616.

What is the square root of 5204 rounded to 2 decimals?

72.14.