Which number is irrational?A. 0.14 B.1/3C. Square root 4D. Square root 6

Accepted Solution

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 rational1/3 divides to .333333333333333333333333333333333333333 indefinitely, so it is rationalsquare root of 4 is 2, a whole number, so it is rationalthe 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.