Square root of 5220

The square root of 5220 is 72.249567 (rounded to 6 decimal places). In simplest radical form it is 6√145.

Square root of 5220

Pick any whole number from 1 to 10,000.

\sqrt{5220} = 6\sqrt{145} \approx 72.249567

How to work it out

1
The square root of 5220 is the number that multiplied by itself gives 5220.
2
5220 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: 5220 = 36 × 145, so
$\sqrt{5220} = \sqrt{36 \times 145} = 6\sqrt{145}$
4
A calculator, or long division of digits, gives
$\sqrt{5220} \approx 72.249567$

LaTeX source of the formulas on this page

\[ \sqrt{5220} = 6\sqrt{145} \approx 72.249567 \]
\[ \sqrt{5220} = \sqrt{36 \times 145} = 6\sqrt{145} \]
\[ \sqrt{5220} \approx 72.249567 \]

What is the square root of 5220?

The square root of 5220 is 72.249567 (rounded to 6 decimal places). In simplest radical form it is 6√145.

Is 5220 a perfect square?

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

What is 5220 squared?

5220 × 5220 = 27248400.

What is the square root of 5220 rounded to 2 decimals?

72.25.