Square root of 5024

The square root of 5024 is 70.880181 (rounded to 6 decimal places). In simplest radical form it is 4√314.

Square root of 5024

Pick any whole number from 1 to 10,000.

\sqrt{5024} = 4\sqrt{314} \approx 70.880181

How to work it out

1
The square root of 5024 is the number that multiplied by itself gives 5024.
2
5024 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: 5024 = 16 × 314, so
$\sqrt{5024} = \sqrt{16 \times 314} = 4\sqrt{314}$
4
A calculator, or long division of digits, gives
$\sqrt{5024} \approx 70.880181$

LaTeX source of the formulas on this page

\[ \sqrt{5024} = 4\sqrt{314} \approx 70.880181 \]
\[ \sqrt{5024} = \sqrt{16 \times 314} = 4\sqrt{314} \]
\[ \sqrt{5024} \approx 70.880181 \]

What is the square root of 5024?

The square root of 5024 is 70.880181 (rounded to 6 decimal places). In simplest radical form it is 4√314.

Is 5024 a perfect square?

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

What is 5024 squared?

5024 × 5024 = 25240576.

What is the square root of 5024 rounded to 2 decimals?

70.88.