Real numbers
Grade Class 10
Question:
<p><strong>Assertion (A):</strong> <span class="math-tex">\(\sqrt{a}\)</span> is an irrational number, where a is a prime number.<br />
<strong>Reason (R):</strong> Square root of any prime number is an irrational number.</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: The square root of any prime number is an irrational number.
<p>As we know that square root of every prime number is an irrational number. So, both assertion and reason are correct and reason explains assertion.</p>
Correct Answer: A