Square root of 5032

The square root of 5032 is 70.936591 (rounded to 6 decimal places). In simplest radical form it is 2√1258.

Square root of 5032

Pick any whole number from 1 to 10,000.

\sqrt{5032} = 2\sqrt{1258} \approx 70.936591

How to work it out

1
The square root of 5032 is the number that multiplied by itself gives 5032.
2
5032 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: 5032 = 4 × 1258, so
$\sqrt{5032} = \sqrt{4 \times 1258} = 2\sqrt{1258}$
4
A calculator, or long division of digits, gives
$\sqrt{5032} \approx 70.936591$

LaTeX source of the formulas on this page

\[ \sqrt{5032} = 2\sqrt{1258} \approx 70.936591 \]
\[ \sqrt{5032} = \sqrt{4 \times 1258} = 2\sqrt{1258} \]
\[ \sqrt{5032} \approx 70.936591 \]

What is the square root of 5032?

The square root of 5032 is 70.936591 (rounded to 6 decimal places). In simplest radical form it is 2√1258.

Is 5032 a perfect square?

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

What is 5032 squared?

5032 × 5032 = 25321024.

What is the square root of 5032 rounded to 2 decimals?

70.94.