Square root of 5260

The square root of 5260 is 72.525857 (rounded to 6 decimal places). In simplest radical form it is 2√1315.

Square root of 5260

Pick any whole number from 1 to 10,000.

\sqrt{5260} = 2\sqrt{1315} \approx 72.525857

How to work it out

1
The square root of 5260 is the number that multiplied by itself gives 5260.
2
5260 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: 5260 = 4 × 1315, so
$\sqrt{5260} = \sqrt{4 \times 1315} = 2\sqrt{1315}$
4
A calculator, or long division of digits, gives
$\sqrt{5260} \approx 72.525857$

LaTeX source of the formulas on this page

\[ \sqrt{5260} = 2\sqrt{1315} \approx 72.525857 \]
\[ \sqrt{5260} = \sqrt{4 \times 1315} = 2\sqrt{1315} \]
\[ \sqrt{5260} \approx 72.525857 \]

What is the square root of 5260?

The square root of 5260 is 72.525857 (rounded to 6 decimal places). In simplest radical form it is 2√1315.

Is 5260 a perfect square?

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

What is 5260 squared?

5260 × 5260 = 27667600.

What is the square root of 5260 rounded to 2 decimals?

72.53.