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Real Numbers — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsReal Numbers1 Mark
MCQ
Choose the correct answer from the given four options in the following questions:
The product of a non-zero rational and an irrational number is:
  • ✓
    Always irrational.
  • B
    Always rational.
  • C
    Rational or irrational.
  • D
    One.
✓

Answer

Correct option: A.
Always irrational.
Product of a non-zero rational and an irrational number is always irrational i.e., $\frac{3}{4}\times\sqrt{2}=\frac{3\sqrt{2}}{4}\text{ (irrational)}.$

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