Square root of 5156

The square root of 5156 is 71.805292 (rounded to 6 decimal places). In simplest radical form it is 2√1289.

Square root of 5156

Pick any whole number from 1 to 10,000.

\sqrt{5156} = 2\sqrt{1289} \approx 71.805292

How to work it out

1
The square root of 5156 is the number that multiplied by itself gives 5156.
2
5156 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: 5156 = 4 × 1289, so
$\sqrt{5156} = \sqrt{4 \times 1289} = 2\sqrt{1289}$
4
A calculator, or long division of digits, gives
$\sqrt{5156} \approx 71.805292$

LaTeX source of the formulas on this page

\[ \sqrt{5156} = 2\sqrt{1289} \approx 71.805292 \]
\[ \sqrt{5156} = \sqrt{4 \times 1289} = 2\sqrt{1289} \]
\[ \sqrt{5156} \approx 71.805292 \]

What is the square root of 5156?

The square root of 5156 is 71.805292 (rounded to 6 decimal places). In simplest radical form it is 2√1289.

Is 5156 a perfect square?

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

What is 5156 squared?

5156 × 5156 = 26584336.

What is the square root of 5156 rounded to 2 decimals?

71.81.