Square root of 5244

The square root of 5244 is 72.415468 (rounded to 6 decimal places). In simplest radical form it is 2√1311.

Square root of 5244

Pick any whole number from 1 to 10,000.

\sqrt{5244} = 2\sqrt{1311} \approx 72.415468

How to work it out

1
The square root of 5244 is the number that multiplied by itself gives 5244.
2
5244 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: 5244 = 4 × 1311, so
$\sqrt{5244} = \sqrt{4 \times 1311} = 2\sqrt{1311}$
4
A calculator, or long division of digits, gives
$\sqrt{5244} \approx 72.415468$

LaTeX source of the formulas on this page

\[ \sqrt{5244} = 2\sqrt{1311} \approx 72.415468 \]
\[ \sqrt{5244} = \sqrt{4 \times 1311} = 2\sqrt{1311} \]
\[ \sqrt{5244} \approx 72.415468 \]

What is the square root of 5244?

The square root of 5244 is 72.415468 (rounded to 6 decimal places). In simplest radical form it is 2√1311.

Is 5244 a perfect square?

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

What is 5244 squared?

5244 × 5244 = 27499536.

What is the square root of 5244 rounded to 2 decimals?

72.42.