Square root of 5168

The square root of 5168 is 71.888803 (rounded to 6 decimal places). In simplest radical form it is 4√323.

Square root of 5168

Pick any whole number from 1 to 10,000.

\sqrt{5168} = 4\sqrt{323} \approx 71.888803

How to work it out

1
The square root of 5168 is the number that multiplied by itself gives 5168.
2
5168 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: 5168 = 16 × 323, so
$\sqrt{5168} = \sqrt{16 \times 323} = 4\sqrt{323}$
4
A calculator, or long division of digits, gives
$\sqrt{5168} \approx 71.888803$

LaTeX source of the formulas on this page

\[ \sqrt{5168} = 4\sqrt{323} \approx 71.888803 \]
\[ \sqrt{5168} = \sqrt{16 \times 323} = 4\sqrt{323} \]
\[ \sqrt{5168} \approx 71.888803 \]

What is the square root of 5168?

The square root of 5168 is 71.888803 (rounded to 6 decimal places). In simplest radical form it is 4√323.

Is 5168 a perfect square?

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

What is 5168 squared?

5168 × 5168 = 26708224.

What is the square root of 5168 rounded to 2 decimals?

71.89.