Verified Answer :

TSO

If the value is:

\(\sf{\frac{2}{a+8}}\)

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 

\(\huge{\boxed{\bf{a=-8}}}\)

then the value will be undefined.

Just a note:

\(\sf{\frac{x}{0}=}\) undefined

\(\sf{\frac{0}{x}=0}\)