Square root of 6792

The square root of 6792 is 82.413591 (rounded to 6 decimal places). In simplest radical form it is 2√1698.

Square root of 6792

Pick any whole number from 1 to 10,000.

\sqrt{6792} = 2\sqrt{1698} \approx 82.413591

How to work it out

1
The square root of 6792 is the number that multiplied by itself gives 6792.
2
6792 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: 6792 = 4 × 1698, so
$\sqrt{6792} = \sqrt{4 \times 1698} = 2\sqrt{1698}$
4
A calculator, or long division of digits, gives
$\sqrt{6792} \approx 82.413591$

LaTeX source of the formulas on this page

\[ \sqrt{6792} = 2\sqrt{1698} \approx 82.413591 \]
\[ \sqrt{6792} = \sqrt{4 \times 1698} = 2\sqrt{1698} \]
\[ \sqrt{6792} \approx 82.413591 \]

What is the square root of 6792?

The square root of 6792 is 82.413591 (rounded to 6 decimal places). In simplest radical form it is 2√1698.

Is 6792 a perfect square?

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

What is 6792 squared?

6792 × 6792 = 46131264.

What is the square root of 6792 rounded to 2 decimals?

82.41.