Square root of 5304

The square root of 5304 is 72.828566 (rounded to 6 decimal places). In simplest radical form it is 2√1326.

Square root of 5304

Pick any whole number from 1 to 10,000.

\sqrt{5304} = 2\sqrt{1326} \approx 72.828566

How to work it out

1
The square root of 5304 is the number that multiplied by itself gives 5304.
2
5304 is between the perfect squares 72² = 5184 and 73² = 5329, so its square root is between 72 and 73.
3
Pull out the biggest square factor: 5304 = 4 × 1326, so
$\sqrt{5304} = \sqrt{4 \times 1326} = 2\sqrt{1326}$
4
A calculator, or long division of digits, gives
$\sqrt{5304} \approx 72.828566$

LaTeX source of the formulas on this page

\[ \sqrt{5304} = 2\sqrt{1326} \approx 72.828566 \]
\[ \sqrt{5304} = \sqrt{4 \times 1326} = 2\sqrt{1326} \]
\[ \sqrt{5304} \approx 72.828566 \]

What is the square root of 5304?

The square root of 5304 is 72.828566 (rounded to 6 decimal places). In simplest radical form it is 2√1326.

Is 5304 a perfect square?

No. It lies between 72² = 5184 and 73² = 5329.

What is 5304 squared?

5304 × 5304 = 28132416.

What is the square root of 5304 rounded to 2 decimals?

72.83.