Question 7108
Nice try but no cigar!

Remember, a rational number can always be expressed as a ratio of two integers.

a) {{{sqrt(4/9)= 2/3}}}, a rational number.

b) 9.737737773... a non-repeating, non-terminating decimal.  This is an irrational number.

c)8.888.. can be expressed as 8 8/9, a rational number.

So, choice b) 9.737737773... is the only irrational number in the list.