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3 votes
Which of the following is irrational?
A √4/√9
B √12/√3
C √7
D √81​

User Gauging
by
8.3k points

1 Answer

2 votes

Final answer:

√7 is the only irrational number among the options, as it cannot be expressed as a fraction of two integers.

Step-by-step explanation:

The question asks which of the following is irrational: A) √4/√9, B) √12/√3, C) √7, D) √81. An irrational number is a number that cannot be expressed as a fraction of two integers. That is, its decimal form is non-terminating and non-repeating.

To determine which option is irrational, let's evaluate each one:

  • √4/√9 = 2/3, which is a rational number.
  • √12/√3 = √(12/3) = √4 = 2, which is also a rational number.
  • √7 cannot be simplified to a fraction of integers, making it an irrational number.
  • √81 = 9, and this is a rational number since it can be expressed as the fraction 9/1.

Therefore, the answer is C) √7, which is the only irrational number in the list provided.

User Phil Jackson
by
7.6k points
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