Prove 1/1+root2+ 1/root2+root3+1/root3+root4 +1/root4+root5+1/root5+root6 +1/root6+root7 +1/root7+root8+ 1/root8+root9 =2
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48
on rationalising the above expression
⇒√2-1+ √3-√2 + √4-√3 + √5-√4 + √6-√5 +√7-√6 + √8-√7 + 3-√8
⇒ -1+3
⇒ 2
⇒√2-1+ √3-√2 + √4-√3 + √5-√4 + √6-√5 +√7-√6 + √8-√7 + 3-√8
⇒ -1+3
⇒ 2
Answered by
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Answer:
Step-by-step explanation:
1/(1+root2)+1/(root2+root3)+1/(root 3+root4)+......1/(root8+root9)
the above question proceed by first step you rationalize all fractional irrational number.
i.e
( roo2-1)+(root3-root2)+(root4-root3)+.....
(root9-root8)=3-1=2
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