Simplifying (Sqrt (5+x) - (Sqrt 5))/x
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Simplifying (Sqrt (5+x) - (Sqrt 5))/x

[From: ] [author: ] [Date: 11-05-31] [Hit: ]
......
Can anyone help me. I've been trying for the past hour to solve this but i don't know how. Can someone tell me how to do this, please.

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(Sqrt (5+x) - (Sqrt 5))/x = (Sqrt (5+x) - (Sqrt 5))(Sqrt (5+x) + (Sqrt 5))/[x(Sqrt (5+x) +(Sqrt 5))]
=1/(Sqrt (5+x) +(Sqrt 5))

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Multiplying top and bottom by √(5 + x) + √5, we get:

1/(√(5 + x) + √5)
1
keywords: Sqrt,Simplifying,Simplifying (Sqrt (5+x) - (Sqrt 5))/x
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