Square root of 5208

The square root of 5208 is 72.166474 (rounded to 6 decimal places). In simplest radical form it is 2√1302.

Square root of 5208

Pick any whole number from 1 to 10,000.

\sqrt{5208} = 2\sqrt{1302} \approx 72.166474

How to work it out

1
The square root of 5208 is the number that multiplied by itself gives 5208.
2
5208 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: 5208 = 4 × 1302, so
$\sqrt{5208} = \sqrt{4 \times 1302} = 2\sqrt{1302}$
4
A calculator, or long division of digits, gives
$\sqrt{5208} \approx 72.166474$

LaTeX source of the formulas on this page

\[ \sqrt{5208} = 2\sqrt{1302} \approx 72.166474 \]
\[ \sqrt{5208} = \sqrt{4 \times 1302} = 2\sqrt{1302} \]
\[ \sqrt{5208} \approx 72.166474 \]

What is the square root of 5208?

The square root of 5208 is 72.166474 (rounded to 6 decimal places). In simplest radical form it is 2√1302.

Is 5208 a perfect square?

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

What is 5208 squared?

5208 × 5208 = 27123264.

What is the square root of 5208 rounded to 2 decimals?

72.17.