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Grade 99 grade maths

Pl give the answer for this basically the proving with steps.
Thanks

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Profile image of HRIDYANSHU
7 Years agoGrade 9
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1 Answer

Profile image of Arun
ApprovedApproved Tutor Answer7 Years ago
Dear student
 
rationalize every term
then you will get
 
sqrt 2 – 1 + sqrt 3 – sqrt 2 + sqrt 4 – sqrt 3 + …...............+ sqrt 9 – sqrt 8
 
hence on simplifying
 
sqrt 9 – 1 = 3 – 1 = 2