Square root of 6775

The square root of 6775 is 82.310388 (rounded to 6 decimal places). In simplest radical form it is 5√271.

Square root of 6775

Pick any whole number from 1 to 10,000.

\sqrt{6775} = 5\sqrt{271} \approx 82.310388

How to work it out

1
The square root of 6775 is the number that multiplied by itself gives 6775.
2
6775 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: 6775 = 25 × 271, so
$\sqrt{6775} = \sqrt{25 \times 271} = 5\sqrt{271}$
4
A calculator, or long division of digits, gives
$\sqrt{6775} \approx 82.310388$

LaTeX source of the formulas on this page

\[ \sqrt{6775} = 5\sqrt{271} \approx 82.310388 \]
\[ \sqrt{6775} = \sqrt{25 \times 271} = 5\sqrt{271} \]
\[ \sqrt{6775} \approx 82.310388 \]

What is the square root of 6775?

The square root of 6775 is 82.310388 (rounded to 6 decimal places). In simplest radical form it is 5√271.

Is 6775 a perfect square?

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

What is 6775 squared?

6775 × 6775 = 45900625.

What is the square root of 6775 rounded to 2 decimals?

82.31.