Square root of 5268

The square root of 5268 is 72.580989 (rounded to 6 decimal places). In simplest radical form it is 2√1317.

Square root of 5268

Pick any whole number from 1 to 10,000.

\sqrt{5268} = 2\sqrt{1317} \approx 72.580989

How to work it out

1
The square root of 5268 is the number that multiplied by itself gives 5268.
2
5268 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: 5268 = 4 × 1317, so
$\sqrt{5268} = \sqrt{4 \times 1317} = 2\sqrt{1317}$
4
A calculator, or long division of digits, gives
$\sqrt{5268} \approx 72.580989$

LaTeX source of the formulas on this page

\[ \sqrt{5268} = 2\sqrt{1317} \approx 72.580989 \]
\[ \sqrt{5268} = \sqrt{4 \times 1317} = 2\sqrt{1317} \]
\[ \sqrt{5268} \approx 72.580989 \]

What is the square root of 5268?

The square root of 5268 is 72.580989 (rounded to 6 decimal places). In simplest radical form it is 2√1317.

Is 5268 a perfect square?

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

What is 5268 squared?

5268 × 5268 = 27751824.

What is the square root of 5268 rounded to 2 decimals?

72.58.