Irrational means it cannot be written as a fraction of two integers.
1/6 is a fraction, so that's out.
0.060606... can be written as a fraction because it's a repeating decimal, so that's out.
[tex]\sqrt{49}=7[/tex] and 7 can be writen as the fraction 7/1, so that's out.
The answer is [tex]\sqrt{17}[/tex].
