Square root of 4432

The square root of 4432 is 66.573268 (rounded to 6 decimal places). In simplest radical form it is 4√277.

Square root of 4432

Pick any whole number from 1 to 10,000.

\sqrt{4432} = 4\sqrt{277} \approx 66.573268

How to work it out

1
The square root of 4432 is the number that multiplied by itself gives 4432.
2
4432 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: 4432 = 16 × 277, so
$\sqrt{4432} = \sqrt{16 \times 277} = 4\sqrt{277}$
4
A calculator, or long division of digits, gives
$\sqrt{4432} \approx 66.573268$

LaTeX source of the formulas on this page

\[ \sqrt{4432} = 4\sqrt{277} \approx 66.573268 \]
\[ \sqrt{4432} = \sqrt{16 \times 277} = 4\sqrt{277} \]
\[ \sqrt{4432} \approx 66.573268 \]

What is the square root of 4432?

The square root of 4432 is 66.573268 (rounded to 6 decimal places). In simplest radical form it is 4√277.

Is 4432 a perfect square?

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

What is 4432 squared?

4432 × 4432 = 19642624.

What is the square root of 4432 rounded to 2 decimals?

66.57.