Square root of 4456

The square root of 4456 is 66.753277 (rounded to 6 decimal places). In simplest radical form it is 2√1114.

Square root of 4456

Pick any whole number from 1 to 10,000.

\sqrt{4456} = 2\sqrt{1114} \approx 66.753277

How to work it out

1
The square root of 4456 is the number that multiplied by itself gives 4456.
2
4456 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: 4456 = 4 × 1114, so
$\sqrt{4456} = \sqrt{4 \times 1114} = 2\sqrt{1114}$
4
A calculator, or long division of digits, gives
$\sqrt{4456} \approx 66.753277$

LaTeX source of the formulas on this page

\[ \sqrt{4456} = 2\sqrt{1114} \approx 66.753277 \]
\[ \sqrt{4456} = \sqrt{4 \times 1114} = 2\sqrt{1114} \]
\[ \sqrt{4456} \approx 66.753277 \]

What is the square root of 4456?

The square root of 4456 is 66.753277 (rounded to 6 decimal places). In simplest radical form it is 2√1114.

Is 4456 a perfect square?

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

What is 4456 squared?

4456 × 4456 = 19855936.

What is the square root of 4456 rounded to 2 decimals?

66.75.