Square root of 6825

The square root of 6825 is 82.613558 (rounded to 6 decimal places). In simplest radical form it is 5√273.

Square root of 6825

Pick any whole number from 1 to 10,000.

\sqrt{6825} = 5\sqrt{273} \approx 82.613558

How to work it out

1
The square root of 6825 is the number that multiplied by itself gives 6825.
2
6825 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: 6825 = 25 × 273, so
$\sqrt{6825} = \sqrt{25 \times 273} = 5\sqrt{273}$
4
A calculator, or long division of digits, gives
$\sqrt{6825} \approx 82.613558$

LaTeX source of the formulas on this page

\[ \sqrt{6825} = 5\sqrt{273} \approx 82.613558 \]
\[ \sqrt{6825} = \sqrt{25 \times 273} = 5\sqrt{273} \]
\[ \sqrt{6825} \approx 82.613558 \]

What is the square root of 6825?

The square root of 6825 is 82.613558 (rounded to 6 decimal places). In simplest radical form it is 5√273.

Is 6825 a perfect square?

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

What is 6825 squared?

6825 × 6825 = 46580625.

What is the square root of 6825 rounded to 2 decimals?

82.61.