Question Number 159591 by mathocean1 last updated on 19/Nov/21
$$\sqrt{\mathrm{3}}\:{and}\:\sqrt{\mathrm{5}}\:{are}\:{irrational}\:{numbers}. \\ $$$${Given}\:{i}=\sqrt{\mathrm{5}}−\sqrt{\mathrm{3}}\:. \\ $$$${Show}\:{that}\:{i}\:{is}\:{irrational}\:. \\ $$