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**iamaditya****Member**- From: Planet Mars
- Registered: 2016-11-15
- Posts: 766

Can anyone please help me out with this problem:

(1/( √ 1+ √ 2))+(1/( √ 2+ √ 3))+(1/( √ 3+ √ 4))................(1/( √ 99+ √ 100))

Please tell me the answer along with explanation.

Practice makes a man perfect.

There is no substitute to hard work

All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,356

hi iamaditya

Like this:

This is called rationalising the denominator. Do this for every term and most bits cancel.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**iamaditya****Member**- From: Planet Mars
- Registered: 2016-11-15
- Posts: 766

Yeah then we would be getting

( √2- √1)( √3- √2)( √4- √3)........( √100- √99)

Then, how we will proceed next.

Practice makes a man perfect.

There is no substitute to hard work

All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,356

In post 1 the terms are added together. So don't multiply those new terms; add them.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**iamaditya****Member**- From: Planet Mars
- Registered: 2016-11-15
- Posts: 766

Yeah, I'm extremely sorry. I don't know in which state of mind I was at that time that I did this big mistake. I was about to delete the message but I didn't get time. And thanks for your answer.

Practice makes a man perfect.

There is no substitute to hard work

All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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