Square root of 5239

The square root of 5239 is 72.380937 (rounded to 6 decimal places). In simplest radical form it is 13√31.

Square root of 5239

Pick any whole number from 1 to 10,000.

\sqrt{5239} = 13\sqrt{31} \approx 72.380937

How to work it out

1
The square root of 5239 is the number that multiplied by itself gives 5239.
2
5239 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: 5239 = 169 × 31, so
$\sqrt{5239} = \sqrt{169 \times 31} = 13\sqrt{31}$
4
A calculator, or long division of digits, gives
$\sqrt{5239} \approx 72.380937$

LaTeX source of the formulas on this page

\[ \sqrt{5239} = 13\sqrt{31} \approx 72.380937 \]
\[ \sqrt{5239} = \sqrt{169 \times 31} = 13\sqrt{31} \]
\[ \sqrt{5239} \approx 72.380937 \]

What is the square root of 5239?

The square root of 5239 is 72.380937 (rounded to 6 decimal places). In simplest radical form it is 13√31.

Is 5239 a perfect square?

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

What is 5239 squared?

5239 × 5239 = 27447121.

What is the square root of 5239 rounded to 2 decimals?

72.38.