Square root of 5136

The square root of 5136 is 71.665891 (rounded to 6 decimal places). In simplest radical form it is 4√321.

Square root of 5136

Pick any whole number from 1 to 10,000.

\sqrt{5136} = 4\sqrt{321} \approx 71.665891

How to work it out

1
The square root of 5136 is the number that multiplied by itself gives 5136.
2
5136 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: 5136 = 16 × 321, so
$\sqrt{5136} = \sqrt{16 \times 321} = 4\sqrt{321}$
4
A calculator, or long division of digits, gives
$\sqrt{5136} \approx 71.665891$

LaTeX source of the formulas on this page

\[ \sqrt{5136} = 4\sqrt{321} \approx 71.665891 \]
\[ \sqrt{5136} = \sqrt{16 \times 321} = 4\sqrt{321} \]
\[ \sqrt{5136} \approx 71.665891 \]

What is the square root of 5136?

The square root of 5136 is 71.665891 (rounded to 6 decimal places). In simplest radical form it is 4√321.

Is 5136 a perfect square?

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

What is 5136 squared?

5136 × 5136 = 26378496.

What is the square root of 5136 rounded to 2 decimals?

71.67.