Square root of 6920

The square root of 6920 is 83.186537 (rounded to 6 decimal places). In simplest radical form it is 2√1730.

Square root of 6920

Pick any whole number from 1 to 10,000.

\sqrt{6920} = 2\sqrt{1730} \approx 83.186537

How to work it out

1
The square root of 6920 is the number that multiplied by itself gives 6920.
2
6920 is between the perfect squares 83² = 6889 and 84² = 7056, so its square root is between 83 and 84.
3
Pull out the biggest square factor: 6920 = 4 × 1730, so
$\sqrt{6920} = \sqrt{4 \times 1730} = 2\sqrt{1730}$
4
A calculator, or long division of digits, gives
$\sqrt{6920} \approx 83.186537$

LaTeX source of the formulas on this page

\[ \sqrt{6920} = 2\sqrt{1730} \approx 83.186537 \]
\[ \sqrt{6920} = \sqrt{4 \times 1730} = 2\sqrt{1730} \]
\[ \sqrt{6920} \approx 83.186537 \]

What is the square root of 6920?

The square root of 6920 is 83.186537 (rounded to 6 decimal places). In simplest radical form it is 2√1730.

Is 6920 a perfect square?

No. It lies between 83² = 6889 and 84² = 7056.

What is 6920 squared?

6920 × 6920 = 47886400.

What is the square root of 6920 rounded to 2 decimals?

83.19.