Square root of 5188

The square root of 5188 is 72.027772 (rounded to 6 decimal places). In simplest radical form it is 2√1297.

Square root of 5188

Pick any whole number from 1 to 10,000.

\sqrt{5188} = 2\sqrt{1297} \approx 72.027772

How to work it out

1
The square root of 5188 is the number that multiplied by itself gives 5188.
2
5188 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: 5188 = 4 × 1297, so
$\sqrt{5188} = \sqrt{4 \times 1297} = 2\sqrt{1297}$
4
A calculator, or long division of digits, gives
$\sqrt{5188} \approx 72.027772$

LaTeX source of the formulas on this page

\[ \sqrt{5188} = 2\sqrt{1297} \approx 72.027772 \]
\[ \sqrt{5188} = \sqrt{4 \times 1297} = 2\sqrt{1297} \]
\[ \sqrt{5188} \approx 72.027772 \]

What is the square root of 5188?

The square root of 5188 is 72.027772 (rounded to 6 decimal places). In simplest radical form it is 2√1297.

Is 5188 a perfect square?

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

What is 5188 squared?

5188 × 5188 = 26915344.

What is the square root of 5188 rounded to 2 decimals?

72.03.