Square root of 8024

The square root of 8024 is 89.576783 (rounded to 6 decimal places). In simplest radical form it is 2√2006.

Square root of 8024

Pick any whole number from 1 to 10,000.

\sqrt{8024} = 2\sqrt{2006} \approx 89.576783

How to work it out

1
The square root of 8024 is the number that multiplied by itself gives 8024.
2
8024 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: 8024 = 4 × 2006, so
$\sqrt{8024} = \sqrt{4 \times 2006} = 2\sqrt{2006}$
4
A calculator, or long division of digits, gives
$\sqrt{8024} \approx 89.576783$

LaTeX source of the formulas on this page

\[ \sqrt{8024} = 2\sqrt{2006} \approx 89.576783 \]
\[ \sqrt{8024} = \sqrt{4 \times 2006} = 2\sqrt{2006} \]
\[ \sqrt{8024} \approx 89.576783 \]

What is the square root of 8024?

The square root of 8024 is 89.576783 (rounded to 6 decimal places). In simplest radical form it is 2√2006.

Is 8024 a perfect square?

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

What is 8024 squared?

8024 × 8024 = 64384576.

What is the square root of 8024 rounded to 2 decimals?

89.58.