Which of the following is an example of an irrational number
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Answer:
D. √2
Step-by-step explanation:
An irrational number is an irrational number if you cannot express it as the quotient of two integers (except zero as the divisor).
A. ⁷⁴/₉₉ = quotient of two integers
Rational
B. √4 = 2
√4 = ²/₁ = quotient of two integers
Rational
C. ¾ = quotient of two integers
Rational
D. √2 = 1.414 213 562 …
√2 = not quotient of two integers
Irrational
Using the concepts of rational and irrational numbers, it is found that [tex]\sqrt{2}[/tex] is an example of an irrational number, given by option D.
In this question, options A and C are fractions, thus they are rational.
Option B is a exact square root, which is a whole number, thus also rational.
In option D, [tex]\sqrt{2}[/tex] is a non-terminating and non-repeating decimal, thus it is irrational.
A similar problem is given at https://brainly.com/question/10814303