Square root of 8016

The square root of 8016 is 89.532117 (rounded to 6 decimal places). In simplest radical form it is 4√501.

Square root of 8016

Pick any whole number from 1 to 10,000.

\sqrt{8016} = 4\sqrt{501} \approx 89.532117

How to work it out

1
The square root of 8016 is the number that multiplied by itself gives 8016.
2
8016 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: 8016 = 16 × 501, so
$\sqrt{8016} = \sqrt{16 \times 501} = 4\sqrt{501}$
4
A calculator, or long division of digits, gives
$\sqrt{8016} \approx 89.532117$

LaTeX source of the formulas on this page

\[ \sqrt{8016} = 4\sqrt{501} \approx 89.532117 \]
\[ \sqrt{8016} = \sqrt{16 \times 501} = 4\sqrt{501} \]
\[ \sqrt{8016} \approx 89.532117 \]

What is the square root of 8016?

The square root of 8016 is 89.532117 (rounded to 6 decimal places). In simplest radical form it is 4√501.

Is 8016 a perfect square?

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

What is 8016 squared?

8016 × 8016 = 64256256.

What is the square root of 8016 rounded to 2 decimals?

89.53.