Square root of 4418

The square root of 4418 is 66.468037 (rounded to 6 decimal places). In simplest radical form it is 47√2.

Square root of 4418

Pick any whole number from 1 to 10,000.

\sqrt{4418} = 47\sqrt{2} \approx 66.468037

How to work it out

1
The square root of 4418 is the number that multiplied by itself gives 4418.
2
4418 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: 4418 = 2209 × 2, so
$\sqrt{4418} = \sqrt{2209 \times 2} = 47\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{4418} \approx 66.468037$

LaTeX source of the formulas on this page

\[ \sqrt{4418} = 47\sqrt{2} \approx 66.468037 \]
\[ \sqrt{4418} = \sqrt{2209 \times 2} = 47\sqrt{2} \]
\[ \sqrt{4418} \approx 66.468037 \]

What is the square root of 4418?

The square root of 4418 is 66.468037 (rounded to 6 decimal places). In simplest radical form it is 47√2.

Is 4418 a perfect square?

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

What is 4418 squared?

4418 × 4418 = 19518724.

What is the square root of 4418 rounded to 2 decimals?

66.47.