Given that \(0<x<1\), prove that \(\sqrt{1+x}+\sqrt{1-x}<2\).
Can we get rid of those square roots? Would squaring both sides be helpful? Are we allowed to do this?
Quadratics
Suggestion
Given that \(0<x<1\), prove that \(\sqrt{1+x}+\sqrt{1-x}<2\).
Can we get rid of those square roots? Would squaring both sides be helpful? Are we allowed to do this?