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2 votes
Which of the following is a rational number

V2, V3, V, V5
O √2
O √3
O VA
O 5

User Mick Bruno
by
8.0k points

1 Answer

5 votes

Final answer:

Among the given options, 5 is the rational number because it can be expressed as the fraction 5/1, whereas √3 is an irrational number with a non-repeating and non-terminating decimal expansion.

Step-by-step explanation:

To determine which of the given options is a rational number, we must understand that a rational number is any number that can be expressed as a fraction æ where p and q are integers, and q is not equal to zero.

For instance, considering integer powers, 5¹ is simply 5, which can certainly be expressed as a fraction (5/1), making it a rational number. However, √3 cannot be expressed as a fraction of two integers as it is an irrational number. Its decimal expansion is non-repeating and non-terminating. Therefore, the rational number among the two options given is 5.

User Likeachamp
by
8.3k points
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