What type of number is the value of \(\sqrt{121}\)?
Answer and explanation
Correct answer: Rational number
\(\sqrt{121}=11\). The number 11 is an integer and can be written as the fraction \(11/1\), so it is rational. Option B (irrational) is incorrect because irrational numbers cannot be expressed as a ratio of integers; 11 can. Option C (non‑real) is wrong because 11 is a real number. Option D (zero) is wrong because the value is 11, not 0. Exam tip: the square root of a perfect square integer is an integer and thus rational.
Frequently asked questions
What is the correct answer to this question?
Rational number
Why is this the correct answer?
\(\sqrt{121}=11\). The number 11 is an integer and can be written as the fraction \(11/1\), so it is rational. Option B (irrational) is incorrect because irrational numbers cannot be expressed as a ratio of integers; 11 can. Option C (non‑real) is wrong because 11 is a real number. Option D (zero) is wrong because the value is 11, not 0. Exam tip: the square root of a perfect square integer is an integer and thus rational.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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