Square root of 4472

The square root of 4472 is 66.873014 (rounded to 6 decimal places). In simplest radical form it is 2√1118.

Square root of 4472

Pick any whole number from 1 to 10,000.

\sqrt{4472} = 2\sqrt{1118} \approx 66.873014

How to work it out

1
The square root of 4472 is the number that multiplied by itself gives 4472.
2
4472 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: 4472 = 4 × 1118, so
$\sqrt{4472} = \sqrt{4 \times 1118} = 2\sqrt{1118}$
4
A calculator, or long division of digits, gives
$\sqrt{4472} \approx 66.873014$

LaTeX source of the formulas on this page

\[ \sqrt{4472} = 2\sqrt{1118} \approx 66.873014 \]
\[ \sqrt{4472} = \sqrt{4 \times 1118} = 2\sqrt{1118} \]
\[ \sqrt{4472} \approx 66.873014 \]

What is the square root of 4472?

The square root of 4472 is 66.873014 (rounded to 6 decimal places). In simplest radical form it is 2√1118.

Is 4472 a perfect square?

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

What is 4472 squared?

4472 × 4472 = 19998784.

What is the square root of 4472 rounded to 2 decimals?

66.87.