Square root of 880

The square root of 880 is 29.664794 (rounded to 6 decimal places). In simplest radical form it is 4√55.

Square root of 880

Pick any whole number from 1 to 10,000.

\sqrt{880} = 4\sqrt{55} \approx 29.664794

How to work it out

1
The square root of 880 is the number that multiplied by itself gives 880.
2
880 is between the perfect squares 29² = 841 and 30² = 900, so its square root is between 29 and 30.
3
Pull out the biggest square factor: 880 = 16 × 55, so
$\sqrt{880} = \sqrt{16 \times 55} = 4\sqrt{55}$
4
A calculator, or long division of digits, gives
$\sqrt{880} \approx 29.664794$

LaTeX source of the formulas on this page

\[ \sqrt{880} = 4\sqrt{55} \approx 29.664794 \]
\[ \sqrt{880} = \sqrt{16 \times 55} = 4\sqrt{55} \]
\[ \sqrt{880} \approx 29.664794 \]

What is the square root of 880?

The square root of 880 is 29.664794 (rounded to 6 decimal places). In simplest radical form it is 4√55.

Is 880 a perfect square?

No. It lies between 29² = 841 and 30² = 900.

What is 880 squared?

880 × 880 = 774400.

What is the square root of 880 rounded to 2 decimals?

29.66.