Square root of 6875

The square root of 6875 is 82.91562 (rounded to 6 decimal places). In simplest radical form it is 25√11.

Square root of 6875

Pick any whole number from 1 to 10,000.

\sqrt{6875} = 25\sqrt{11} \approx 82.91562

How to work it out

1
The square root of 6875 is the number that multiplied by itself gives 6875.
2
6875 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: 6875 = 625 × 11, so
$\sqrt{6875} = \sqrt{625 \times 11} = 25\sqrt{11}$
4
A calculator, or long division of digits, gives
$\sqrt{6875} \approx 82.91562$

LaTeX source of the formulas on this page

\[ \sqrt{6875} = 25\sqrt{11} \approx 82.91562 \]
\[ \sqrt{6875} = \sqrt{625 \times 11} = 25\sqrt{11} \]
\[ \sqrt{6875} \approx 82.91562 \]

What is the square root of 6875?

The square root of 6875 is 82.91562 (rounded to 6 decimal places). In simplest radical form it is 25√11.

Is 6875 a perfect square?

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

What is 6875 squared?

6875 × 6875 = 47265625.

What is the square root of 6875 rounded to 2 decimals?

82.92.