Which option is correct about \(\sqrt{3}\)?
Answer and explanation
Correct answer: It is a non-terminating non-recurring decimal
Since \(3\) is not a perfect square, \(\sqrt{3}\) is irrational. The decimal expansion of an irrational number is non-terminating and non-recurring, so option C is correct. Option B is wrong because a non-terminating recurring decimal represents a rational number, such as \(0.333\ldots\). Exam tip: The square root of a positive integer is rational only if the integer is a perfect square.
Frequently asked questions
What is the correct answer to this question?
It is a non-terminating non-recurring decimal
Why is this the correct answer?
Since \(3\) is not a perfect square, \(\sqrt{3}\) is irrational. The decimal expansion of an irrational number is non-terminating and non-recurring, so option C is correct. Option B is wrong because a non-terminating recurring decimal represents a rational number, such as \(0.333\ldots\). Exam tip: The square root of a positive integer is rational only if the integer is a perfect square.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Irrational numbers.
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