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Pls help with the conditions and simplifying

Pls help with the conditions and simplifying-example-1
Pls help with the conditions and simplifying-example-1
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Pls help with the conditions and simplifying-example-3

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Answer:

Explanation:


(1)/(√(y) ) ((1)/(√(x) -√(y) ) -(1)/(√(x) +√(y) ) )\\=(1)/(√(y) ) ((√(x) +√(y) -(√(x) -√(y) ))/((√(x) -√(y) )(√(x) +√(y) )) )\\=(1)/(√(y) ) ((√(x) +√(y) -√(x) +√(y) )/((√(x) )^2-(√(y) )^2)\\=(1)/(√(y) ) ((2√(y) )/(x-y) ) \\=(2)/(x-y) ,x\\eq y

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