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Number systems — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsNumber systems1 Mark
Question
Consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code:
  1. Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
  2. Both Assertion (A) and Reason (R) are true but Reason is not a correct explanation of Assertion (A).
  3. Assertion (A) is true and Reason (R) is false.
  4. Assertion (A) is false and Reason (R) is true.
Assertion (A)Reason (R)
$\sqrt{3}$ is an irrational number.Square root a positive integer which is not a perfect square is an irrational number.
The correct answer is: (a), (b), (c), (d).
✓

Answer

  1. Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
    Solution:
    We know that if $\sqrt{\text{x}}$ is an irratinal number, it means x is not a perfect square.
    Thus, Assertion (A) is true
    Since Reason (R) gives Assertion (A), so (a) holds.

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