Square root of 8032

The square root of 8032 is 89.621426 (rounded to 6 decimal places). In simplest radical form it is 4√502.

Square root of 8032

Pick any whole number from 1 to 10,000.

\sqrt{8032} = 4\sqrt{502} \approx 89.621426

How to work it out

1
The square root of 8032 is the number that multiplied by itself gives 8032.
2
8032 is between the perfect squares 89² = 7921 and 90² = 8100, so its square root is between 89 and 90.
3
Pull out the biggest square factor: 8032 = 16 × 502, so
$\sqrt{8032} = \sqrt{16 \times 502} = 4\sqrt{502}$
4
A calculator, or long division of digits, gives
$\sqrt{8032} \approx 89.621426$

LaTeX source of the formulas on this page

\[ \sqrt{8032} = 4\sqrt{502} \approx 89.621426 \]
\[ \sqrt{8032} = \sqrt{16 \times 502} = 4\sqrt{502} \]
\[ \sqrt{8032} \approx 89.621426 \]

What is the square root of 8032?

The square root of 8032 is 89.621426 (rounded to 6 decimal places). In simplest radical form it is 4√502.

Is 8032 a perfect square?

No. It lies between 89² = 7921 and 90² = 8100.

What is 8032 squared?

8032 × 8032 = 64513024.

What is the square root of 8032 rounded to 2 decimals?

89.62.