Square root of 4428

The square root of 4428 is 66.543219 (rounded to 6 decimal places). In simplest radical form it is 6√123.

Square root of 4428

Pick any whole number from 1 to 10,000.

\sqrt{4428} = 6\sqrt{123} \approx 66.543219

How to work it out

1
The square root of 4428 is the number that multiplied by itself gives 4428.
2
4428 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: 4428 = 36 × 123, so
$\sqrt{4428} = \sqrt{36 \times 123} = 6\sqrt{123}$
4
A calculator, or long division of digits, gives
$\sqrt{4428} \approx 66.543219$

LaTeX source of the formulas on this page

\[ \sqrt{4428} = 6\sqrt{123} \approx 66.543219 \]
\[ \sqrt{4428} = \sqrt{36 \times 123} = 6\sqrt{123} \]
\[ \sqrt{4428} \approx 66.543219 \]

What is the square root of 4428?

The square root of 4428 is 66.543219 (rounded to 6 decimal places). In simplest radical form it is 6√123.

Is 4428 a perfect square?

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

What is 4428 squared?

4428 × 4428 = 19607184.

What is the square root of 4428 rounded to 2 decimals?

66.54.