Square root of 5020

The square root of 5020 is 70.851958 (rounded to 6 decimal places). In simplest radical form it is 2√1255.

Square root of 5020

Pick any whole number from 1 to 10,000.

\sqrt{5020} = 2\sqrt{1255} \approx 70.851958

How to work it out

1
The square root of 5020 is the number that multiplied by itself gives 5020.
2
5020 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: 5020 = 4 × 1255, so
$\sqrt{5020} = \sqrt{4 \times 1255} = 2\sqrt{1255}$
4
A calculator, or long division of digits, gives
$\sqrt{5020} \approx 70.851958$

LaTeX source of the formulas on this page

\[ \sqrt{5020} = 2\sqrt{1255} \approx 70.851958 \]
\[ \sqrt{5020} = \sqrt{4 \times 1255} = 2\sqrt{1255} \]
\[ \sqrt{5020} \approx 70.851958 \]

What is the square root of 5020?

The square root of 5020 is 70.851958 (rounded to 6 decimal places). In simplest radical form it is 2√1255.

Is 5020 a perfect square?

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

What is 5020 squared?

5020 × 5020 = 25200400.

What is the square root of 5020 rounded to 2 decimals?

70.85.