Square root of 5224

The square root of 5224 is 72.277244 (rounded to 6 decimal places). In simplest radical form it is 2√1306.

Square root of 5224

Pick any whole number from 1 to 10,000.

\sqrt{5224} = 2\sqrt{1306} \approx 72.277244

How to work it out

1
The square root of 5224 is the number that multiplied by itself gives 5224.
2
5224 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: 5224 = 4 × 1306, so
$\sqrt{5224} = \sqrt{4 \times 1306} = 2\sqrt{1306}$
4
A calculator, or long division of digits, gives
$\sqrt{5224} \approx 72.277244$

LaTeX source of the formulas on this page

\[ \sqrt{5224} = 2\sqrt{1306} \approx 72.277244 \]
\[ \sqrt{5224} = \sqrt{4 \times 1306} = 2\sqrt{1306} \]
\[ \sqrt{5224} \approx 72.277244 \]

What is the square root of 5224?

The square root of 5224 is 72.277244 (rounded to 6 decimal places). In simplest radical form it is 2√1306.

Is 5224 a perfect square?

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

What is 5224 squared?

5224 × 5224 = 27290176.

What is the square root of 5224 rounded to 2 decimals?

72.28.