Square root of 8020

The square root of 8020 is 89.554453 (rounded to 6 decimal places). In simplest radical form it is 2√2005.

Square root of 8020

Pick any whole number from 1 to 10,000.

\sqrt{8020} = 2\sqrt{2005} \approx 89.554453

How to work it out

1
The square root of 8020 is the number that multiplied by itself gives 8020.
2
8020 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: 8020 = 4 × 2005, so
$\sqrt{8020} = \sqrt{4 \times 2005} = 2\sqrt{2005}$
4
A calculator, or long division of digits, gives
$\sqrt{8020} \approx 89.554453$

LaTeX source of the formulas on this page

\[ \sqrt{8020} = 2\sqrt{2005} \approx 89.554453 \]
\[ \sqrt{8020} = \sqrt{4 \times 2005} = 2\sqrt{2005} \]
\[ \sqrt{8020} \approx 89.554453 \]

What is the square root of 8020?

The square root of 8020 is 89.554453 (rounded to 6 decimal places). In simplest radical form it is 2√2005.

Is 8020 a perfect square?

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

What is 8020 squared?

8020 × 8020 = 64320400.

What is the square root of 8020 rounded to 2 decimals?

89.55.