Square root of 6820

The square root of 6820 is 82.583291 (rounded to 6 decimal places). In simplest radical form it is 2√1705.

Square root of 6820

Pick any whole number from 1 to 10,000.

\sqrt{6820} = 2\sqrt{1705} \approx 82.583291

How to work it out

1
The square root of 6820 is the number that multiplied by itself gives 6820.
2
6820 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: 6820 = 4 × 1705, so
$\sqrt{6820} = \sqrt{4 \times 1705} = 2\sqrt{1705}$
4
A calculator, or long division of digits, gives
$\sqrt{6820} \approx 82.583291$

LaTeX source of the formulas on this page

\[ \sqrt{6820} = 2\sqrt{1705} \approx 82.583291 \]
\[ \sqrt{6820} = \sqrt{4 \times 1705} = 2\sqrt{1705} \]
\[ \sqrt{6820} \approx 82.583291 \]

What is the square root of 6820?

The square root of 6820 is 82.583291 (rounded to 6 decimal places). In simplest radical form it is 2√1705.

Is 6820 a perfect square?

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

What is 6820 squared?

6820 × 6820 = 46512400.

What is the square root of 6820 rounded to 2 decimals?

82.58.