Square root of 6840

The square root of 6840 is 82.704293 (rounded to 6 decimal places). In simplest radical form it is 6√190.

Square root of 6840

Pick any whole number from 1 to 10,000.

\sqrt{6840} = 6\sqrt{190} \approx 82.704293

How to work it out

1
The square root of 6840 is the number that multiplied by itself gives 6840.
2
6840 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: 6840 = 36 × 190, so
$\sqrt{6840} = \sqrt{36 \times 190} = 6\sqrt{190}$
4
A calculator, or long division of digits, gives
$\sqrt{6840} \approx 82.704293$

LaTeX source of the formulas on this page

\[ \sqrt{6840} = 6\sqrt{190} \approx 82.704293 \]
\[ \sqrt{6840} = \sqrt{36 \times 190} = 6\sqrt{190} \]
\[ \sqrt{6840} \approx 82.704293 \]

What is the square root of 6840?

The square root of 6840 is 82.704293 (rounded to 6 decimal places). In simplest radical form it is 6√190.

Is 6840 a perfect square?

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

What is 6840 squared?

6840 × 6840 = 46785600.

What is the square root of 6840 rounded to 2 decimals?

82.70.