Square root of 6884

The square root of 6884 is 82.969874 (rounded to 6 decimal places). In simplest radical form it is 2√1721.

Square root of 6884

Pick any whole number from 1 to 10,000.

\sqrt{6884} = 2\sqrt{1721} \approx 82.969874

How to work it out

1
The square root of 6884 is the number that multiplied by itself gives 6884.
2
6884 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: 6884 = 4 × 1721, so
$\sqrt{6884} = \sqrt{4 \times 1721} = 2\sqrt{1721}$
4
A calculator, or long division of digits, gives
$\sqrt{6884} \approx 82.969874$

LaTeX source of the formulas on this page

\[ \sqrt{6884} = 2\sqrt{1721} \approx 82.969874 \]
\[ \sqrt{6884} = \sqrt{4 \times 1721} = 2\sqrt{1721} \]
\[ \sqrt{6884} \approx 82.969874 \]

What is the square root of 6884?

The square root of 6884 is 82.969874 (rounded to 6 decimal places). In simplest radical form it is 2√1721.

Is 6884 a perfect square?

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

What is 6884 squared?

6884 × 6884 = 47389456.

What is the square root of 6884 rounded to 2 decimals?

82.97.