Square root of 6808

The square root of 6808 is 82.510605 (rounded to 6 decimal places). In simplest radical form it is 2√1702.

Square root of 6808

Pick any whole number from 1 to 10,000.

\sqrt{6808} = 2\sqrt{1702} \approx 82.510605

How to work it out

1
The square root of 6808 is the number that multiplied by itself gives 6808.
2
6808 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: 6808 = 4 × 1702, so
$\sqrt{6808} = \sqrt{4 \times 1702} = 2\sqrt{1702}$
4
A calculator, or long division of digits, gives
$\sqrt{6808} \approx 82.510605$

LaTeX source of the formulas on this page

\[ \sqrt{6808} = 2\sqrt{1702} \approx 82.510605 \]
\[ \sqrt{6808} = \sqrt{4 \times 1702} = 2\sqrt{1702} \]
\[ \sqrt{6808} \approx 82.510605 \]

What is the square root of 6808?

The square root of 6808 is 82.510605 (rounded to 6 decimal places). In simplest radical form it is 2√1702.

Is 6808 a perfect square?

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

What is 6808 squared?

6808 × 6808 = 46348864.

What is the square root of 6808 rounded to 2 decimals?

82.51.