Square root of 6845

The square root of 6845 is 82.734515 (rounded to 6 decimal places). In simplest radical form it is 37√5.

Square root of 6845

Pick any whole number from 1 to 10,000.

\sqrt{6845} = 37\sqrt{5} \approx 82.734515

How to work it out

1
The square root of 6845 is the number that multiplied by itself gives 6845.
2
6845 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: 6845 = 1369 × 5, so
$\sqrt{6845} = \sqrt{1369 \times 5} = 37\sqrt{5}$
4
A calculator, or long division of digits, gives
$\sqrt{6845} \approx 82.734515$

LaTeX source of the formulas on this page

\[ \sqrt{6845} = 37\sqrt{5} \approx 82.734515 \]
\[ \sqrt{6845} = \sqrt{1369 \times 5} = 37\sqrt{5} \]
\[ \sqrt{6845} \approx 82.734515 \]

What is the square root of 6845?

The square root of 6845 is 82.734515 (rounded to 6 decimal places). In simplest radical form it is 37√5.

Is 6845 a perfect square?

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

What is 6845 squared?

6845 × 6845 = 46854025.

What is the square root of 6845 rounded to 2 decimals?

82.73.