Square root of 8012

The square root of 8012 is 89.509776 (rounded to 6 decimal places). In simplest radical form it is 2√2003.

Square root of 8012

Pick any whole number from 1 to 10,000.

\sqrt{8012} = 2\sqrt{2003} \approx 89.509776

How to work it out

1
The square root of 8012 is the number that multiplied by itself gives 8012.
2
8012 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: 8012 = 4 × 2003, so
$\sqrt{8012} = \sqrt{4 \times 2003} = 2\sqrt{2003}$
4
A calculator, or long division of digits, gives
$\sqrt{8012} \approx 89.509776$

LaTeX source of the formulas on this page

\[ \sqrt{8012} = 2\sqrt{2003} \approx 89.509776 \]
\[ \sqrt{8012} = \sqrt{4 \times 2003} = 2\sqrt{2003} \]
\[ \sqrt{8012} \approx 89.509776 \]

What is the square root of 8012?

The square root of 8012 is 89.509776 (rounded to 6 decimal places). In simplest radical form it is 2√2003.

Is 8012 a perfect square?

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

What is 8012 squared?

8012 × 8012 = 64192144.

What is the square root of 8012 rounded to 2 decimals?

89.51.