Square root of 4408

The square root of 4408 is 66.392771 (rounded to 6 decimal places). In simplest radical form it is 2√1102.

Square root of 4408

Pick any whole number from 1 to 10,000.

\sqrt{4408} = 2\sqrt{1102} \approx 66.392771

How to work it out

1
The square root of 4408 is the number that multiplied by itself gives 4408.
2
4408 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: 4408 = 4 × 1102, so
$\sqrt{4408} = \sqrt{4 \times 1102} = 2\sqrt{1102}$
4
A calculator, or long division of digits, gives
$\sqrt{4408} \approx 66.392771$

LaTeX source of the formulas on this page

\[ \sqrt{4408} = 2\sqrt{1102} \approx 66.392771 \]
\[ \sqrt{4408} = \sqrt{4 \times 1102} = 2\sqrt{1102} \]
\[ \sqrt{4408} \approx 66.392771 \]

What is the square root of 4408?

The square root of 4408 is 66.392771 (rounded to 6 decimal places). In simplest radical form it is 2√1102.

Is 4408 a perfect square?

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

What is 4408 squared?

4408 × 4408 = 19430464.

What is the square root of 4408 rounded to 2 decimals?

66.39.