Square root of 6580

The square root of 6580 is 81.117199 (rounded to 6 decimal places). In simplest radical form it is 2√1645.

Square root of 6580

Pick any whole number from 1 to 10,000.

\sqrt{6580} = 2\sqrt{1645} \approx 81.117199

How to work it out

1
The square root of 6580 is the number that multiplied by itself gives 6580.
2
6580 is between the perfect squares 81² = 6561 and 82² = 6724, so its square root is between 81 and 82.
3
Pull out the biggest square factor: 6580 = 4 × 1645, so
$\sqrt{6580} = \sqrt{4 \times 1645} = 2\sqrt{1645}$
4
A calculator, or long division of digits, gives
$\sqrt{6580} \approx 81.117199$

LaTeX source of the formulas on this page

\[ \sqrt{6580} = 2\sqrt{1645} \approx 81.117199 \]
\[ \sqrt{6580} = \sqrt{4 \times 1645} = 2\sqrt{1645} \]
\[ \sqrt{6580} \approx 81.117199 \]

What is the square root of 6580?

The square root of 6580 is 81.117199 (rounded to 6 decimal places). In simplest radical form it is 2√1645.

Is 6580 a perfect square?

No. It lies between 81² = 6561 and 82² = 6724.

What is 6580 squared?

6580 × 6580 = 43296400.

What is the square root of 6580 rounded to 2 decimals?

81.12.