Square root of 5280

The square root of 5280 is 72.663608 (rounded to 6 decimal places). In simplest radical form it is 4√330.

Square root of 5280

Pick any whole number from 1 to 10,000.

\sqrt{5280} = 4\sqrt{330} \approx 72.663608

How to work it out

1
The square root of 5280 is the number that multiplied by itself gives 5280.
2
5280 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: 5280 = 16 × 330, so
$\sqrt{5280} = \sqrt{16 \times 330} = 4\sqrt{330}$
4
A calculator, or long division of digits, gives
$\sqrt{5280} \approx 72.663608$

LaTeX source of the formulas on this page

\[ \sqrt{5280} = 4\sqrt{330} \approx 72.663608 \]
\[ \sqrt{5280} = \sqrt{16 \times 330} = 4\sqrt{330} \]
\[ \sqrt{5280} \approx 72.663608 \]

What is the square root of 5280?

The square root of 5280 is 72.663608 (rounded to 6 decimal places). In simplest radical form it is 4√330.

Is 5280 a perfect square?

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

What is 5280 squared?

5280 × 5280 = 27878400.

What is the square root of 5280 rounded to 2 decimals?

72.66.