Square root of 4480

The square root of 4480 is 66.932802 (rounded to 6 decimal places). In simplest radical form it is 8√70.

Square root of 4480

Pick any whole number from 1 to 10,000.

\sqrt{4480} = 8\sqrt{70} \approx 66.932802

How to work it out

1
The square root of 4480 is the number that multiplied by itself gives 4480.
2
4480 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: 4480 = 64 × 70, so
$\sqrt{4480} = \sqrt{64 \times 70} = 8\sqrt{70}$
4
A calculator, or long division of digits, gives
$\sqrt{4480} \approx 66.932802$

LaTeX source of the formulas on this page

\[ \sqrt{4480} = 8\sqrt{70} \approx 66.932802 \]
\[ \sqrt{4480} = \sqrt{64 \times 70} = 8\sqrt{70} \]
\[ \sqrt{4480} \approx 66.932802 \]

What is the square root of 4480?

The square root of 4480 is 66.932802 (rounded to 6 decimal places). In simplest radical form it is 8√70.

Is 4480 a perfect square?

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

What is 4480 squared?

4480 × 4480 = 20070400.

What is the square root of 4480 rounded to 2 decimals?

66.93.