Question

Which is greater:√7-√3 or √5-1

Answer 1

x = √7 - √3              y = √5 - 1

Reciprocate them and then rationalize the denominators

  1/x = [√7 + √3 ] /(7-3)           1/y =  [√5  + 1 ] / (5 -1)

clearly,   1/x  >   1/y

So       x <  y

So   √7  - √3   <   √5  - 1

Answer 2

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