Question

Simplify the Question in the Attached Image.​

Answer 1

Answer is 2..

Mark it as brainliest ......

Answer 2

on rationalising we get,

=1-✓2/(1+✓2)(1-✓2)+✓2-✓3/(✓2+✓3)(✓2-✓3)+✓3-✓4/(✓3+✓4)(✓3-✓4)+...+✓8-✓9/(✓8+✓9)(✓8-✓9) next step is below:-

= 1-✓2/1-2+✓2-✓3/2-3+✓3-✓4/3-4+✓4-✓5/4-5+✓5-✓6/5-6+...+✓8-✓9/8-9

= -(1-✓2)-(✓2-✓3)-(✓3-✓4)-(✓4-✓5)-(✓5-✓6)...-(✓8-✓9)

= -1+✓2-✓2+✓3-✓3+✓4-✓4+✓5-✓5+✓6-✓6+✓7-✓7+✓8-✓8+✓9

= -1+3

2