Square root of 5252

The square root of 5252 is 72.470684 (rounded to 6 decimal places). In simplest radical form it is 2√1313.

Square root of 5252

Pick any whole number from 1 to 10,000.

\sqrt{5252} = 2\sqrt{1313} \approx 72.470684

How to work it out

1
The square root of 5252 is the number that multiplied by itself gives 5252.
2
5252 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: 5252 = 4 × 1313, so
$\sqrt{5252} = \sqrt{4 \times 1313} = 2\sqrt{1313}$
4
A calculator, or long division of digits, gives
$\sqrt{5252} \approx 72.470684$

LaTeX source of the formulas on this page

\[ \sqrt{5252} = 2\sqrt{1313} \approx 72.470684 \]
\[ \sqrt{5252} = \sqrt{4 \times 1313} = 2\sqrt{1313} \]
\[ \sqrt{5252} \approx 72.470684 \]

What is the square root of 5252?

The square root of 5252 is 72.470684 (rounded to 6 decimal places). In simplest radical form it is 2√1313.

Is 5252 a perfect square?

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

What is 5252 squared?

5252 × 5252 = 27583504.

What is the square root of 5252 rounded to 2 decimals?

72.47.