Square root of 560

The square root of 560 is 23.664319 (rounded to 6 decimal places). In simplest radical form it is 4√35.

Square root of 560

Pick any whole number from 1 to 10,000.

\sqrt{560} = 4\sqrt{35} \approx 23.664319

How to work it out

1
The square root of 560 is the number that multiplied by itself gives 560.
2
560 is between the perfect squares 23² = 529 and 24² = 576, so its square root is between 23 and 24.
3
Pull out the biggest square factor: 560 = 16 × 35, so
$\sqrt{560} = \sqrt{16 \times 35} = 4\sqrt{35}$
4
A calculator, or long division of digits, gives
$\sqrt{560} \approx 23.664319$

LaTeX source of the formulas on this page

\[ \sqrt{560} = 4\sqrt{35} \approx 23.664319 \]
\[ \sqrt{560} = \sqrt{16 \times 35} = 4\sqrt{35} \]
\[ \sqrt{560} \approx 23.664319 \]

What is the square root of 560?

The square root of 560 is 23.664319 (rounded to 6 decimal places). In simplest radical form it is 4√35.

Is 560 a perfect square?

No. It lies between 23² = 529 and 24² = 576.

What is 560 squared?

560 × 560 = 313600.

What is the square root of 560 rounded to 2 decimals?

23.66.