Answer :

TSO
If the value is:

[tex]\sf{\frac{2}{a+8}}[/tex]

Then it will be undefined when the denominator is equal to 0.

So set the denominator equal to 0

a + 8 = 0
a = -8

So when 

[tex]\huge{\boxed{\bf{a=-8}}}[/tex]

then the value will be undefined.

Just a note:

[tex]\sf{\frac{x}{0}=}[/tex] undefined

[tex]\sf{\frac{0}{x}=0}[/tex]