Square root of 4448

The square root of 4448 is 66.693328 (rounded to 6 decimal places). In simplest radical form it is 4√278.

Square root of 4448

Pick any whole number from 1 to 10,000.

\sqrt{4448} = 4\sqrt{278} \approx 66.693328

How to work it out

1
The square root of 4448 is the number that multiplied by itself gives 4448.
2
4448 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: 4448 = 16 × 278, so
$\sqrt{4448} = \sqrt{16 \times 278} = 4\sqrt{278}$
4
A calculator, or long division of digits, gives
$\sqrt{4448} \approx 66.693328$

LaTeX source of the formulas on this page

\[ \sqrt{4448} = 4\sqrt{278} \approx 66.693328 \]
\[ \sqrt{4448} = \sqrt{16 \times 278} = 4\sqrt{278} \]
\[ \sqrt{4448} \approx 66.693328 \]

What is the square root of 4448?

The square root of 4448 is 66.693328 (rounded to 6 decimal places). In simplest radical form it is 4√278.

Is 4448 a perfect square?

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

What is 4448 squared?

4448 × 4448 = 19784704.

What is the square root of 4448 rounded to 2 decimals?

66.69.