Square root of 260

The square root of 260 is 16.124515 (rounded to 6 decimal places). In simplest radical form it is 2√65.

Square root of 260

Pick any whole number from 1 to 10,000.

\sqrt{260} = 2\sqrt{65} \approx 16.124515

How to work it out

1
The square root of 260 is the number that multiplied by itself gives 260.
2
260 is between the perfect squares 16² = 256 and 17² = 289, so its square root is between 16 and 17.
3
Pull out the biggest square factor: 260 = 4 × 65, so
$\sqrt{260} = \sqrt{4 \times 65} = 2\sqrt{65}$
4
A calculator, or long division of digits, gives
$\sqrt{260} \approx 16.124515$

LaTeX source of the formulas on this page

\[ \sqrt{260} = 2\sqrt{65} \approx 16.124515 \]
\[ \sqrt{260} = \sqrt{4 \times 65} = 2\sqrt{65} \]
\[ \sqrt{260} \approx 16.124515 \]

What is the square root of 260?

The square root of 260 is 16.124515 (rounded to 6 decimal places). In simplest radical form it is 2√65.

Is 260 a perfect square?

No. It lies between 16² = 256 and 17² = 289.

What is 260 squared?

260 × 260 = 67600.

What is the square root of 260 rounded to 2 decimals?

16.12.