Math, asked by Saumya004, 10 months ago

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Question the attachment !!

Please solve it ASAP.

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Saumya004: why you're not active on IG ??

Anonymous: it's just that I uninstalled it

Anonymous: I'm visiting it sometimes..

Anonymous: I uninstalled it because my mom would find out.. when she's not near me I'm installing..

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Saumya004: come on IG

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Answers

Answered by Anonymous

Answer:

rationalizing all the denominators,

we get ,

$- 1 + \sqrt{2} - \sqrt{2} + \sqrt{3} - \sqrt{3} + \sqrt{4} ............ - \sqrt{8} + \sqrt{9}$

all are cancelled except :-

$- 1 + \sqrt{9}$

= -1 + 3

= 2 .

hence proved

Saumya004: show complete calculations

Answered by Anonymous

Rationalize It

1/√2+1 = √2-1

Similarly= 1/√3+√2 = √3-√2

Similarly = 1/√4+√3 = √4-√3

Similarly = 1/√5+√4 = √5-√4

Similarly = 1/√6+√5 = √6-√5

Similarly = 1/√7+√6 = √7-√6

Similarly = 1/√8+√7 = √8-√7

Similarly = 1/√9+√8 = √9-√8

Add

√2-1+√3- √2+√4- √3+ √5-√4+√6-√5+√7-√6+√8-√7+√9-√8

-1+3 = 2

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