Question

Show that there is no positive integer n for which √(n -1 ) + √(n+1) is rational.

Answer 1

yes you r correct.....put 2,3,4,5.... in the place of n and you will always get an irrational number....but if you put 1 ..then you will get a rational number.....so n will not belong to 1........hope this hint will help you to get the answer....

Answer 2

Step-by-step explanation:

an object moving a certain distance can have zero total displacement. Displacement refers to the shortest distance between the initial and the final positions of the object. Even if an object moves through a considerable distance, if it eventually comes back to its initial position, the corresponding displacement of the object would be zero.