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Real Numbers — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsReal Numbers1 Mark
MCQ
The sum of two irrational numbers is always
  • A
    None of these
  • ✓
    a rational number or an irrational number
  • C
    an irrational number
  • D
    a rational number
✓

Answer

Correct option: B.
a rational number or an irrational number
The sum of two irrational numbers can be either a rational number or an irrational number.
e.g  $5\sqrt{3}+3\sqrt{2}=5\sqrt{3}+3\sqrt{2}$ sum is irrational
$(2+6\sqrt{7})+(-6\sqrt{7})=2$ sum is rational Hence sum can be either rational or irrational

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