Square root of 4400

The square root of 4400 is 66.332496 (rounded to 6 decimal places). In simplest radical form it is 20√11.

Square root of 4400

Pick any whole number from 1 to 10,000.

\sqrt{4400} = 20\sqrt{11} \approx 66.332496

How to work it out

1
The square root of 4400 is the number that multiplied by itself gives 4400.
2
4400 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: 4400 = 400 × 11, so
$\sqrt{4400} = \sqrt{400 \times 11} = 20\sqrt{11}$
4
A calculator, or long division of digits, gives
$\sqrt{4400} \approx 66.332496$

LaTeX source of the formulas on this page

\[ \sqrt{4400} = 20\sqrt{11} \approx 66.332496 \]
\[ \sqrt{4400} = \sqrt{400 \times 11} = 20\sqrt{11} \]
\[ \sqrt{4400} \approx 66.332496 \]

What is the square root of 4400?

The square root of 4400 is 66.332496 (rounded to 6 decimal places). In simplest radical form it is 20√11.

Is 4400 a perfect square?

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

What is 4400 squared?

4400 × 4400 = 19360000.

What is the square root of 4400 rounded to 2 decimals?

66.33.