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Question Number 208502 by Kalebwizeman last updated on 17/Jun/24

Answered by A5T last updated on 17/Jun/24

=(√(16))+(√(15))−(√(15))−(√(14))+...−(√9)−(√8)=4−2(√2)

=16+15−15−14+...−9−8=4−22

Commented by Kalebwizeman last updated on 17/Jun/24

kindly show more working to make it clearer. Thank you

kindlyshowmoreworkingtomakeitclearer.Thankyou

Commented by A5T last updated on 17/Jun/24

Rationalize (1/( (√(a+1))−(√a)))=((((√(a+1))+(√a)))/(((√(a+1))−(√a))((√(a+1))+(√a)))) =(((√(a+1))+(√a))/(((√(a+1)))^2 −((√a))^2 ))=(((√(a+1))+(√a))/(a+1−a))=(√(a+1))+(√a)

Rationalize1a+1−a=(a+1+a)(a+1−a)(a+1+a)=a+1+a(a+1)2−(a)2=a+1+aa+1−a=a+1+a

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