Square root of 5013

The square root of 5013 is 70.802542 (rounded to 6 decimal places). In simplest radical form it is 3√557.

Square root of 5013

Pick any whole number from 1 to 10,000.

\sqrt{5013} = 3\sqrt{557} \approx 70.802542

How to work it out

1
The square root of 5013 is the number that multiplied by itself gives 5013.
2
5013 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: 5013 = 9 × 557, so
$\sqrt{5013} = \sqrt{9 \times 557} = 3\sqrt{557}$
4
A calculator, or long division of digits, gives
$\sqrt{5013} \approx 70.802542$

LaTeX source of the formulas on this page

\[ \sqrt{5013} = 3\sqrt{557} \approx 70.802542 \]
\[ \sqrt{5013} = \sqrt{9 \times 557} = 3\sqrt{557} \]
\[ \sqrt{5013} \approx 70.802542 \]

What is the square root of 5013?

The square root of 5013 is 70.802542 (rounded to 6 decimal places). In simplest radical form it is 3√557.

Is 5013 a perfect square?

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

What is 5013 squared?

5013 × 5013 = 25130169.

What is the square root of 5013 rounded to 2 decimals?

70.80.