If you had to repeat the process using 1.4142135 as an approximation of 2, which process would you prefer and why?

The process is 'Squaring 1.4142135'

Step-by-step explanation:

We are given that,

1.4142135 is used repeatedly to approximate 2.

Now, we can see that,

1.4142135 * 1.4142135 = 1.999999 ≅ 2

Thus, using the number 1.4142135 two times and taking their product approximates the number 2.

Hence, we used the process 'squaring the number 1.4142135' to obtain 2 approximately.