Square root of 8008

The square root of 8008 is 89.487429 (rounded to 6 decimal places). In simplest radical form it is 2√2002.

Square root of 8008

Pick any whole number from 1 to 10,000.

\sqrt{8008} = 2\sqrt{2002} \approx 89.487429

How to work it out

1
The square root of 8008 is the number that multiplied by itself gives 8008.
2
8008 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: 8008 = 4 × 2002, so
$\sqrt{8008} = \sqrt{4 \times 2002} = 2\sqrt{2002}$
4
A calculator, or long division of digits, gives
$\sqrt{8008} \approx 89.487429$

LaTeX source of the formulas on this page

\[ \sqrt{8008} = 2\sqrt{2002} \approx 89.487429 \]
\[ \sqrt{8008} = \sqrt{4 \times 2002} = 2\sqrt{2002} \]
\[ \sqrt{8008} \approx 89.487429 \]

What is the square root of 8008?

The square root of 8008 is 89.487429 (rounded to 6 decimal places). In simplest radical form it is 2√2002.

Is 8008 a perfect square?

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

What is 8008 squared?

8008 × 8008 = 64128064.

What is the square root of 8008 rounded to 2 decimals?

89.49.