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Real Numbers — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsReal Numbers1 Mark
MCQ
Statement A (Assertion) : $\sqrt{5}$ is an irrational number.
Statement $R$ (Reason) : If $m$ is a natural number which is not a perfect square, then $\sqrt{m}$ is irrational.
  • ✓
    Both assertion (A) and reason ( $R$ ) are true and reason $(R)$ is the correct explanation of assertion (A).
  • B
    Both assertion $(A)$ and reason $(R)$ are true and reason $(R)$ is not the correct explanation of assertion (A).
  • C
    Assertion (A) is true but reason ( $R$ ) is false.
  • D
    Assertion (A) is false but reason $(R)$ is true.
✓

Answer

Correct option: A.
Both assertion (A) and reason ( $R$ ) are true and reason $(R)$ is the correct explanation of assertion (A).
(a) : Clearly, 5 is not a perfect square.
$\therefore \sqrt{5}$ is irrational.
$\therefore \quad$ Assertion and Reason both are true and Reason is the correct explanation of Assertion.

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