You can notice that the point is in the interval (5 ; 6 )
That is , we can write in this form:
[tex]5<x<6[/tex] ; where x is our point that lies on the segment (5 ; 6 )
Let 's write down 5 and 6 in this form
[tex]5=\sqrt{25} \ \ ; \ \ 6=\sqrt{36 }[/tex]
[tex]\sqrt{25} <x<\sqrt{36} \Longrightarrow x \ can \ be \ equal \ to \ \sqrt{35} \ and \ \sqrt{30 } \\\\ But \ since \ the \ point \ is \ closer \ to \ point \ 6, \ then \ \boxed{x=\sqrt{35} }[/tex]
