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Linear Inequalities — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsLinear Inequalities1 Mark
MCQ
If $a$ is an irrational number which is divisible by $b$ then the number $b:$
  • A
    Must be rational
  • ✓
    Must be irrational
  • C
    May be rational or irrational
  • D
    None of these
✓

Answer

Correct option: B.
Must be irrational
If $a$ is an irrational number which is divisible by $b$ then the number $b$ must be irrational.
Ex: Let the two irrational numbers are $\sqrt{2}$ and $\sqrt{3}$ Now, $\sqrt{2}\sqrt{3}=\sqrt{\Big(\frac{2}{3}}\Big)$

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