Square root of 6795

The square root of 6795 is 82.43179 (rounded to 6 decimal places). In simplest radical form it is 3√755.

Square root of 6795

Pick any whole number from 1 to 10,000.

\sqrt{6795} = 3\sqrt{755} \approx 82.43179

How to work it out

1
The square root of 6795 is the number that multiplied by itself gives 6795.
2
6795 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: 6795 = 9 × 755, so
$\sqrt{6795} = \sqrt{9 \times 755} = 3\sqrt{755}$
4
A calculator, or long division of digits, gives
$\sqrt{6795} \approx 82.43179$

LaTeX source of the formulas on this page

\[ \sqrt{6795} = 3\sqrt{755} \approx 82.43179 \]
\[ \sqrt{6795} = \sqrt{9 \times 755} = 3\sqrt{755} \]
\[ \sqrt{6795} \approx 82.43179 \]

What is the square root of 6795?

The square root of 6795 is 82.43179 (rounded to 6 decimal places). In simplest radical form it is 3√755.

Is 6795 a perfect square?

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

What is 6795 squared?

6795 × 6795 = 46172025.

What is the square root of 6795 rounded to 2 decimals?

82.43.