What is the irrational number in this set: 12.89, \(\sqrt{12}\), and \(\frac{12}{144}\)?
Answer (2)
Good night,
Irrational numbers are those that can't be expressed as a fraction:
12.89 can be expressed as: 100 1289
144 12 = 12 1
The above numbers can be expressed as a fraction, then the logical answer is: 12
But we will check the answer:
12 = 2 2 ∗ 3 = 2 ∗ 3 = 3.4641016...
As you can see we can't express that number as a fraction, so that is te correct answer.
The irrational number in the set {12.89, 12 , 144 12 } is 12 , as it cannot be expressed as a fraction of two integers. The other two numbers are rational because they can be expressed as fractions.
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