Square root of 4401

The square root of 4401 is 66.340033 (rounded to 6 decimal places). In simplest radical form it is 3√489.

Square root of 4401

Pick any whole number from 1 to 10,000.

\sqrt{4401} = 3\sqrt{489} \approx 66.340033

How to work it out

1
The square root of 4401 is the number that multiplied by itself gives 4401.
2
4401 is between the perfect squares 66² = 4356 and 67² = 4489, so its square root is between 66 and 67.
3
Pull out the biggest square factor: 4401 = 9 × 489, so
$\sqrt{4401} = \sqrt{9 \times 489} = 3\sqrt{489}$
4
A calculator, or long division of digits, gives
$\sqrt{4401} \approx 66.340033$

LaTeX source of the formulas on this page

\[ \sqrt{4401} = 3\sqrt{489} \approx 66.340033 \]
\[ \sqrt{4401} = \sqrt{9 \times 489} = 3\sqrt{489} \]
\[ \sqrt{4401} \approx 66.340033 \]

What is the square root of 4401?

The square root of 4401 is 66.340033 (rounded to 6 decimal places). In simplest radical form it is 3√489.

Is 4401 a perfect square?

No. It lies between 66² = 4356 and 67² = 4489.

What is 4401 squared?

4401 × 4401 = 19368801.

What is the square root of 4401 rounded to 2 decimals?

66.34.