Square root of 5228

The square root of 5228 is 72.30491 (rounded to 6 decimal places). In simplest radical form it is 2√1307.

Square root of 5228

Pick any whole number from 1 to 10,000.

\sqrt{5228} = 2\sqrt{1307} \approx 72.30491

How to work it out

1
The square root of 5228 is the number that multiplied by itself gives 5228.
2
5228 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: 5228 = 4 × 1307, so
$\sqrt{5228} = \sqrt{4 \times 1307} = 2\sqrt{1307}$
4
A calculator, or long division of digits, gives
$\sqrt{5228} \approx 72.30491$

LaTeX source of the formulas on this page

\[ \sqrt{5228} = 2\sqrt{1307} \approx 72.30491 \]
\[ \sqrt{5228} = \sqrt{4 \times 1307} = 2\sqrt{1307} \]
\[ \sqrt{5228} \approx 72.30491 \]

What is the square root of 5228?

The square root of 5228 is 72.30491 (rounded to 6 decimal places). In simplest radical form it is 2√1307.

Is 5228 a perfect square?

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

What is 5228 squared?

5228 × 5228 = 27331984.

What is the square root of 5228 rounded to 2 decimals?

72.30.