Square root of 5203

The square root of 5203 is 72.131824 (rounded to 6 decimal places). In simplest radical form it is 11√43.

Square root of 5203

Pick any whole number from 1 to 10,000.

\sqrt{5203} = 11\sqrt{43} \approx 72.131824

How to work it out

1
The square root of 5203 is the number that multiplied by itself gives 5203.
2
5203 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: 5203 = 121 × 43, so
$\sqrt{5203} = \sqrt{121 \times 43} = 11\sqrt{43}$
4
A calculator, or long division of digits, gives
$\sqrt{5203} \approx 72.131824$

LaTeX source of the formulas on this page

\[ \sqrt{5203} = 11\sqrt{43} \approx 72.131824 \]
\[ \sqrt{5203} = \sqrt{121 \times 43} = 11\sqrt{43} \]
\[ \sqrt{5203} \approx 72.131824 \]

What is the square root of 5203?

The square root of 5203 is 72.131824 (rounded to 6 decimal places). In simplest radical form it is 11√43.

Is 5203 a perfect square?

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

What is 5203 squared?

5203 × 5203 = 27071209.

What is the square root of 5203 rounded to 2 decimals?

72.13.