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