Question

please help me with the Problem ​

Answer 1

SOLUTION ☺️

$= > \sqrt{2} + \frac{3}{ \sqrt{2} } = \frac{2 + 3}{ \sqrt{2} } \\ \\ = > \frac{5}{ \sqrt{2} } \\ \\ = > \frac{5}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{5 \sqrt{2} }{2} \: \: \: which \: itself \: an \: irrational \: \: number \\ \\ = > hence \\ = > \sqrt{2} + \frac{3}{ \sqrt{2} } \: is \: an \: irrational \: number$

HOPE it helps ✔️☺️