Square root of 8001

The square root of 8001 is 89.448309 (rounded to 6 decimal places). In simplest radical form it is 3√889.

Square root of 8001

Pick any whole number from 1 to 10,000.

\sqrt{8001} = 3\sqrt{889} \approx 89.448309

How to work it out

1
The square root of 8001 is the number that multiplied by itself gives 8001.
2
8001 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: 8001 = 9 × 889, so
$\sqrt{8001} = \sqrt{9 \times 889} = 3\sqrt{889}$
4
A calculator, or long division of digits, gives
$\sqrt{8001} \approx 89.448309$

LaTeX source of the formulas on this page

\[ \sqrt{8001} = 3\sqrt{889} \approx 89.448309 \]
\[ \sqrt{8001} = \sqrt{9 \times 889} = 3\sqrt{889} \]
\[ \sqrt{8001} \approx 89.448309 \]

What is the square root of 8001?

The square root of 8001 is 89.448309 (rounded to 6 decimal places). In simplest radical form it is 3√889.

Is 8001 a perfect square?

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

What is 8001 squared?

8001 × 8001 = 64016001.

What is the square root of 8001 rounded to 2 decimals?

89.45.