Square root of 5200

The square root of 5200 is 72.111026 (rounded to 6 decimal places). In simplest radical form it is 20√13.

Square root of 5200

Pick any whole number from 1 to 10,000.

\sqrt{5200} = 20\sqrt{13} \approx 72.111026

How to work it out

1
The square root of 5200 is the number that multiplied by itself gives 5200.
2
5200 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: 5200 = 400 × 13, so
$\sqrt{5200} = \sqrt{400 \times 13} = 20\sqrt{13}$
4
A calculator, or long division of digits, gives
$\sqrt{5200} \approx 72.111026$

LaTeX source of the formulas on this page

\[ \sqrt{5200} = 20\sqrt{13} \approx 72.111026 \]
\[ \sqrt{5200} = \sqrt{400 \times 13} = 20\sqrt{13} \]
\[ \sqrt{5200} \approx 72.111026 \]

What is the square root of 5200?

The square root of 5200 is 72.111026 (rounded to 6 decimal places). In simplest radical form it is 20√13.

Is 5200 a perfect square?

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

What is 5200 squared?

5200 × 5200 = 27040000.

What is the square root of 5200 rounded to 2 decimals?

72.11.