Square root of 4488

The square root of 4488 is 66.992537 (rounded to 6 decimal places). In simplest radical form it is 2√1122.

Square root of 4488

Pick any whole number from 1 to 10,000.

\sqrt{4488} = 2\sqrt{1122} \approx 66.992537

How to work it out

1
The square root of 4488 is the number that multiplied by itself gives 4488.
2
4488 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: 4488 = 4 × 1122, so
$\sqrt{4488} = \sqrt{4 \times 1122} = 2\sqrt{1122}$
4
A calculator, or long division of digits, gives
$\sqrt{4488} \approx 66.992537$

LaTeX source of the formulas on this page

\[ \sqrt{4488} = 2\sqrt{1122} \approx 66.992537 \]
\[ \sqrt{4488} = \sqrt{4 \times 1122} = 2\sqrt{1122} \]
\[ \sqrt{4488} \approx 66.992537 \]

What is the square root of 4488?

The square root of 4488 is 66.992537 (rounded to 6 decimal places). In simplest radical form it is 2√1122.

Is 4488 a perfect square?

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

What is 4488 squared?

4488 × 4488 = 20142144.

What is the square root of 4488 rounded to 2 decimals?

66.99.