Find the square root of 12.0068 correct to four decimal places.

Given: 

12.0068

To do: 

We have to find the square root of 12.0068 correct to four decimal places.

Solution:

To find the square root to four places of decimal, we write 12.0068 as,

$12.0068=12.0068000000$

$\sqrt{12.0068}=\sqrt{12.0068000000}$

	3.46508
3	12.0068000000 9
64	300 256
686	4468     4116
6925	35200        34625
693008	5750000         5544064
	205936

Therefore,

$\sqrt{12.0068}=3.46508$

 $=3.4651$