Real numbers
Grade Class 10
Question:
<p><strong>Assertion (A):</strong> 2 is a rational number.<br />
<strong>Reason (R):</strong> The square roots of all positive integers are irrationals.</p>
<p style="display:inline">Both A and R are true and R is the correct explanation of A.</p>
<p style="display:inline">Both A and R are true but R is not the correct explanation of A.</p>
<p style="display:inline">A is true but R is false.</p>
<p style="display:inline">A is false but R is true.</p>
Step-by-Step Solution
Key Concept: Rational numbers are those that can be expressed as a ratio of two integers, and square roots of positive integers are only irrational if the integer is not a perfect square.
<p>Here reason is not true. <span class="math-tex">$\sqrt{4}=\pm 2$</span>, which is not an irrational number.</p>
Correct Answer: C