Which number is irrational? a. 0.14 b.1/3 c. square root 4 d. square root 6

Step-by-step explanation:

Let's define irrational by stating what rational means first, and the use the process of elimination.

A rational number is one that can be expressed as a ratio.  When dividing the numerator of this ratio by the denominator, we will either get a whole number, a decimal that repeats a pattern, or we will get a decimal that terminates.

.14 terminates, so it is rational

1/3 divides to .333333333333333333333333333333333333333 indefinitely, so it is rational

square root of 4 is 2, a whole number, so it is rational

the square root of 6, to 9 decimal places, is 2.449489743... and it goes on without ending and without repeating.  So this is the only irrational number of the bunch.