Respuesta :

znk

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.

  • Rational numbers are all numbers that can be represented by fractions, including whole numbers, repeating decimals and terminating decimals.
  • Irrational numbers are those which cannot be represented by fractions, such as non-terminating decimals.

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