Square root of 5072

The square root of 5072 is 71.217975 (rounded to 6 decimal places). In simplest radical form it is 4√317.

Square root of 5072

Pick any whole number from 1 to 10,000.

\sqrt{5072} = 4\sqrt{317} \approx 71.217975

How to work it out

1
The square root of 5072 is the number that multiplied by itself gives 5072.
2
5072 is between the perfect squares 71² = 5041 and 72² = 5184, so its square root is between 71 and 72.
3
Pull out the biggest square factor: 5072 = 16 × 317, so
$\sqrt{5072} = \sqrt{16 \times 317} = 4\sqrt{317}$
4
A calculator, or long division of digits, gives
$\sqrt{5072} \approx 71.217975$

LaTeX source of the formulas on this page

\[ \sqrt{5072} = 4\sqrt{317} \approx 71.217975 \]
\[ \sqrt{5072} = \sqrt{16 \times 317} = 4\sqrt{317} \]
\[ \sqrt{5072} \approx 71.217975 \]

What is the square root of 5072?

The square root of 5072 is 71.217975 (rounded to 6 decimal places). In simplest radical form it is 4√317.

Is 5072 a perfect square?

No. It lies between 71² = 5041 and 72² = 5184.

What is 5072 squared?

5072 × 5072 = 25725184.

What is the square root of 5072 rounded to 2 decimals?

71.22.