Question

find the value of this with arthematics propagation

Answer 1

2 is the correct answer

Answer 2

Answer:

2

Step-by-step explanation:

1/ ( 1 +√2) + 1/(√2 + √3) + 1/(√3 + √4) + ...................1/(√8 + √9)

Rationalize each term,

√2 - 1 + √3 - √2 + √4 - √3.............................√9 - √8

All the denominator become 1 ( 2 - 1), ( 3 - 2).................. = 1

All the value get cancelled with each other,

√9 - 1 = 3 - 1 = 2

Hence the answer of the equation is 2