Square root of 6880

The square root of 6880 is 82.945765 (rounded to 6 decimal places). In simplest radical form it is 4√430.

Square root of 6880

Pick any whole number from 1 to 10,000.

\sqrt{6880} = 4\sqrt{430} \approx 82.945765

How to work it out

1
The square root of 6880 is the number that multiplied by itself gives 6880.
2
6880 is between the perfect squares 82² = 6724 and 83² = 6889, so its square root is between 82 and 83.
3
Pull out the biggest square factor: 6880 = 16 × 430, so
$\sqrt{6880} = \sqrt{16 \times 430} = 4\sqrt{430}$
4
A calculator, or long division of digits, gives
$\sqrt{6880} \approx 82.945765$

LaTeX source of the formulas on this page

\[ \sqrt{6880} = 4\sqrt{430} \approx 82.945765 \]
\[ \sqrt{6880} = \sqrt{16 \times 430} = 4\sqrt{430} \]
\[ \sqrt{6880} \approx 82.945765 \]

What is the square root of 6880?

The square root of 6880 is 82.945765 (rounded to 6 decimal places). In simplest radical form it is 4√430.

Is 6880 a perfect square?

No. It lies between 82² = 6724 and 83² = 6889.

What is 6880 squared?

6880 × 6880 = 47334400.

What is the square root of 6880 rounded to 2 decimals?

82.95.