MATHS TRICKS: HOW TO SOLVE COMPLEX SURDS

What is the value of above expression?

You can evaluate it within 3 seconds without converting this expression into quadratic form. How ?

Just break the number 12 into n*(n+1) form.

12 = 3*4

Therefore the answer is (n+1), i.e., 4

Similarly, for 72, the the answer will be 9; for 20 the answer will be 5, and so on.

If the answer is an integer, then number will always break into n*(n+1) form, and such numbers are called pronic numbers. A pronic number is a number which is the product of two consecutive integers.

If instead of '+' you have '-' (above image), then

72 = 8*9

The answer is n, instead of n+1. So the above expression evaluates to 8.

If instead of + you have * (multiplication), then the answer is the number itself