Square root of 4452

The square root of 4452 is 66.723309 (rounded to 6 decimal places). In simplest radical form it is 2√1113.

Square root of 4452

Pick any whole number from 1 to 10,000.

\sqrt{4452} = 2\sqrt{1113} \approx 66.723309

How to work it out

1
The square root of 4452 is the number that multiplied by itself gives 4452.
2
4452 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: 4452 = 4 × 1113, so
$\sqrt{4452} = \sqrt{4 \times 1113} = 2\sqrt{1113}$
4
A calculator, or long division of digits, gives
$\sqrt{4452} \approx 66.723309$

LaTeX source of the formulas on this page

\[ \sqrt{4452} = 2\sqrt{1113} \approx 66.723309 \]
\[ \sqrt{4452} = \sqrt{4 \times 1113} = 2\sqrt{1113} \]
\[ \sqrt{4452} \approx 66.723309 \]

What is the square root of 4452?

The square root of 4452 is 66.723309 (rounded to 6 decimal places). In simplest radical form it is 2√1113.

Is 4452 a perfect square?

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

What is 4452 squared?

4452 × 4452 = 19820304.

What is the square root of 4452 rounded to 2 decimals?

66.72.