Which of the following is not a rational number? (2023)
Practice Questions
1 question
Q1
Which of the following is not a rational number? (2023)
1/2
0
√3
3
√3 is an irrational number, while 1/2, 0, and 3 are rational.
Questions & Step-by-step Solutions
1 item
Q
Q: Which of the following is not a rational number? (2023)
Solution: √3 is an irrational number, while 1/2, 0, and 3 are rational.
Steps: 8
Step 1: Understand what a rational number is. A rational number can be expressed as a fraction where both the numerator (top number) and the denominator (bottom number) are integers.
Step 2: Identify the options given in the question. The options are 1/2, 0, 3, and √3.
Step 3: Check each option to see if it is a rational number.
Step 4: For 1/2: This is a fraction (1 divided by 2), so it is a rational number.
Step 5: For 0: This can be written as 0/1, which is a fraction, so it is a rational number.
Step 6: For 3: This can be written as 3/1, which is also a fraction, so it is a rational number.
Step 7: For √3: This cannot be expressed as a fraction of two integers, so it is not a rational number.
Step 8: Conclude that √3 is the option that is not a rational number.
