Which of the following is an irrational numbers?

A. -1 5/29
B. 0.343434
C.√2/3
D. 87.9821

C. √2/3 is an irrational number.

An irrational number is a number that cannot be expressed as a fraction and has a non-terminating, non-repeating decimal representation. Let's go through the options:

A. -1 5/29: This is a rational number since it can be expressed as a fraction.

B. 0.343434: This is a rational number since it repeats the digits 34.

C. √2/3: This is an irrational number because the square root of 2 cannot be expressed as a fraction, and it leads to a non-repeating decimal.

D. 87.9821: This is a rational number because it can be expressed as a terminating decimal.

So, the irrational number in the options is C. √2/3.