Answer:
[tex]\sqrt{6}[/tex]
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.
