Square root of 6504

The square root of 6504 is 80.647381 (rounded to 6 decimal places). In simplest radical form it is 2√1626.

Square root of 6504

Pick any whole number from 1 to 10,000.

\sqrt{6504} = 2\sqrt{1626} \approx 80.647381

How to work it out

1
The square root of 6504 is the number that multiplied by itself gives 6504.
2
6504 is between the perfect squares 80² = 6400 and 81² = 6561, so its square root is between 80 and 81.
3
Pull out the biggest square factor: 6504 = 4 × 1626, so
$\sqrt{6504} = \sqrt{4 \times 1626} = 2\sqrt{1626}$
4
A calculator, or long division of digits, gives
$\sqrt{6504} \approx 80.647381$

LaTeX source of the formulas on this page

\[ \sqrt{6504} = 2\sqrt{1626} \approx 80.647381 \]
\[ \sqrt{6504} = \sqrt{4 \times 1626} = 2\sqrt{1626} \]
\[ \sqrt{6504} \approx 80.647381 \]

What is the square root of 6504?

The square root of 6504 is 80.647381 (rounded to 6 decimal places). In simplest radical form it is 2√1626.

Is 6504 a perfect square?

No. It lies between 80² = 6400 and 81² = 6561.

What is 6504 squared?

6504 × 6504 = 42302016.

What is the square root of 6504 rounded to 2 decimals?

80.65.