Square root of 5202

The square root of 5202 is 72.124892 (rounded to 6 decimal places). In simplest radical form it is 51√2.

Square root of 5202

Pick any whole number from 1 to 10,000.

\sqrt{5202} = 51\sqrt{2} \approx 72.124892

How to work it out

1
The square root of 5202 is the number that multiplied by itself gives 5202.
2
5202 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: 5202 = 2601 × 2, so
$\sqrt{5202} = \sqrt{2601 \times 2} = 51\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{5202} \approx 72.124892$

LaTeX source of the formulas on this page

\[ \sqrt{5202} = 51\sqrt{2} \approx 72.124892 \]
\[ \sqrt{5202} = \sqrt{2601 \times 2} = 51\sqrt{2} \]
\[ \sqrt{5202} \approx 72.124892 \]

What is the square root of 5202?

The square root of 5202 is 72.124892 (rounded to 6 decimal places). In simplest radical form it is 51√2.

Is 5202 a perfect square?

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

What is 5202 squared?

5202 × 5202 = 27060804.

What is the square root of 5202 rounded to 2 decimals?

72.12.