Square root of 6832

The square root of 6832 is 82.655913 (rounded to 6 decimal places). In simplest radical form it is 4√427.

Square root of 6832

Pick any whole number from 1 to 10,000.

\sqrt{6832} = 4\sqrt{427} \approx 82.655913

How to work it out

1
The square root of 6832 is the number that multiplied by itself gives 6832.
2
6832 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: 6832 = 16 × 427, so
$\sqrt{6832} = \sqrt{16 \times 427} = 4\sqrt{427}$
4
A calculator, or long division of digits, gives
$\sqrt{6832} \approx 82.655913$

LaTeX source of the formulas on this page

\[ \sqrt{6832} = 4\sqrt{427} \approx 82.655913 \]
\[ \sqrt{6832} = \sqrt{16 \times 427} = 4\sqrt{427} \]
\[ \sqrt{6832} \approx 82.655913 \]

What is the square root of 6832?

The square root of 6832 is 82.655913 (rounded to 6 decimal places). In simplest radical form it is 4√427.

Is 6832 a perfect square?

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

What is 6832 squared?

6832 × 6832 = 46676224.

What is the square root of 6832 rounded to 2 decimals?

82.66.