Dear readers, here you can find a shortcut trick of the square root upto infinity problems- subtraction- which is asked in most competitive exams like cat, afcat, mat, gate, ssc, ibps etc. Check below image for question.

Before learning to solve this question, you should know about the addition version of this question type. I have discussed that in my recent post.

What we normally do is calculating the value of square root of 12 and then adding it successively until we reach a near value or use a formula. But that process takes sometime.

Here is a trick through which you can easily do this question in just 2 seconds.

I am explaining the solution of this problem here.

## Shortcut tricks for Square Root up to infinity questions (Substraction)

Solution:

Assume 12 as x, remember x should be given even for this trick to work. If x is given odd, then the formula of the trick will change.

Now think of two consecutive factors of 12. i.e.

12=n(n+1)

The value of n will be the answer of this type of problem.

12=3(3+1)

12=3*4

The shorter value means 3 will be the answer in substraction problems.

Note: in addition (+) version of this type of problems, the bigger factor means n+1 will be the answer while in subtraction version of this problem, n will be the answer.