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Which of the following is an example of an irrational number?

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Question: Which of the following is an example of an irrational number?

Options:

  1. 1/2
  2. 3.14
  3. √2
  4. 0.75

Correct Answer: √2

Solution: 

√2 is an irrational number because it cannot be expressed as a fraction of two integers.

Which of the following is an example of an irrational number?

Practice Questions

Q1
Which of the following is an example of an irrational number?
  1. 1/2
  2. 3.14
  3. √2
  4. 0.75

Questions & Step-by-Step Solutions

Which of the following is an example of an irrational number?
  • Step 1: Understand what an irrational number is. An irrational number cannot be written as a fraction (a/b) where 'a' and 'b' are integers.
  • Step 2: Look at the number √2. This means the square root of 2.
  • Step 3: Check if √2 can be expressed as a fraction. It cannot be written as a simple fraction of two whole numbers.
  • Step 4: Conclude that since √2 cannot be expressed as a fraction, it is an irrational number.
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