Square root of 5016

The square root of 5016 is 70.823725 (rounded to 6 decimal places). In simplest radical form it is 2√1254.

Square root of 5016

Pick any whole number from 1 to 10,000.

\sqrt{5016} = 2\sqrt{1254} \approx 70.823725

How to work it out

1
The square root of 5016 is the number that multiplied by itself gives 5016.
2
5016 is between the perfect squares 70² = 4900 and 71² = 5041, so its square root is between 70 and 71.
3
Pull out the biggest square factor: 5016 = 4 × 1254, so
$\sqrt{5016} = \sqrt{4 \times 1254} = 2\sqrt{1254}$
4
A calculator, or long division of digits, gives
$\sqrt{5016} \approx 70.823725$

LaTeX source of the formulas on this page

\[ \sqrt{5016} = 2\sqrt{1254} \approx 70.823725 \]
\[ \sqrt{5016} = \sqrt{4 \times 1254} = 2\sqrt{1254} \]
\[ \sqrt{5016} \approx 70.823725 \]

What is the square root of 5016?

The square root of 5016 is 70.823725 (rounded to 6 decimal places). In simplest radical form it is 2√1254.

Is 5016 a perfect square?

No. It lies between 70² = 4900 and 71² = 5041.

What is 5016 squared?

5016 × 5016 = 25160256.

What is the square root of 5016 rounded to 2 decimals?

70.82.