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Question Number 54517 by hassentimol last updated on 05/Feb/19

Prove that (((√(h+1))−1)/h) = (1/((√(h+1))+1)) please...

Provethath+1−1h=1h+1+1please...

Answered by Kunal12588 last updated on 05/Feb/19

let (√(h+1))=k h+1=k^2 h=k^2 −1 (((√(h+1))−1)/h)=((k−1)/(k^2 −1))=(((k−1))/((k−1)(k+1)))=(1/(k+1))=(1/((√(h+1))+1))

leth+1=kh+1=k2h=k2−1h+1−1h=k−1k2−1=(k−1)(k−1)(k+1)=1k+1=1h+1+1

Commented by hassentimol last updated on 05/Feb/19

Thank you Sir God bless you

ThankyouSirGodblessyou

Answered by math1967 last updated on 05/Feb/19

((((√(h+1))−1)((√(h+1))+1))/(h((√(h+1))+1)))=((h+1−1)/(h((√(h+1))+1))) =(1/((√(h+1))+1))

(h+1−1)(h+1+1)h(h+1+1)=h+1−1h(h+1+1)=1h+1+1

Commented by hassentimol last updated on 05/Feb/19

Thank you Sir

ThankyouSir

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