Square root of 4460

The square root of 4460 is 66.783231 (rounded to 6 decimal places). In simplest radical form it is 2√1115.

Square root of 4460

Pick any whole number from 1 to 10,000.

\sqrt{4460} = 2\sqrt{1115} \approx 66.783231

How to work it out

1
The square root of 4460 is the number that multiplied by itself gives 4460.
2
4460 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: 4460 = 4 × 1115, so
$\sqrt{4460} = \sqrt{4 \times 1115} = 2\sqrt{1115}$
4
A calculator, or long division of digits, gives
$\sqrt{4460} \approx 66.783231$

LaTeX source of the formulas on this page

\[ \sqrt{4460} = 2\sqrt{1115} \approx 66.783231 \]
\[ \sqrt{4460} = \sqrt{4 \times 1115} = 2\sqrt{1115} \]
\[ \sqrt{4460} \approx 66.783231 \]

What is the square root of 4460?

The square root of 4460 is 66.783231 (rounded to 6 decimal places). In simplest radical form it is 2√1115.

Is 4460 a perfect square?

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

What is 4460 squared?

4460 × 4460 = 19891600.

What is the square root of 4460 rounded to 2 decimals?

66.78.