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What type of real number is \(\sqrt{16}\)?

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Answer and explanation

Correct answer: Rational number

Since \(16\) is a perfect square, \(\sqrt{16}=4\). The number \(4\) can be written as \(\frac{4}{1}\), so it is rational. Therefore, option B is correct. It is not irrational because its value is an exact integer, and it is certainly a real, defined number. Exam tip: the square root of a positive perfect square is an integer and hence rational.

Related tags

Real NumbersRational NumbersSquare RootsPerfect SquaresClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

Rational number

Why is this the correct answer?

Since \(16\) is a perfect square, \(\sqrt{16}=4\). The number \(4\) can be written as \(\frac{4}{1}\), so it is rational. Therefore, option B is correct. It is not irrational because its value is an exact integer, and it is certainly a real, defined number. Exam tip: the square root of a positive perfect square is an integer and hence rational.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Rational numbers.

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