[tex]\sqrt{5} +1-\sqrt{5} =1[/tex].
First, let's define an irratinal number. Irrational numbers are all numbers that can't be expressed as the fraction of 2 integers.
Let's make the result be 1, for this, we form the following equation:
[tex]\sqrt{5} +x=1[/tex]
[tex]x=1-\sqrt{5}[/tex]
[tex]\sqrt{5} +(1-\sqrt{5} )=\\ \\\sqrt{5} +1-\sqrt{5} =\\ \\1[/tex]
[tex]\sqrt{5} +1-\sqrt{5} =1[/tex].