Real numbers
Grade Class 10
Question:
<p><span class="math-tex">\((2+\sqrt{2})^{2}\)</span> is:</p>
<p style="display:inline">an integer</p>
<p style="display:inline">an irrational number</p>
<p style="display:inline">a rational number</p>
<p style="display:inline">a natural number</p>
Step-by-Step Solution
Key Concept: Expand the expression using the algebraic identity (a+b)² = a² + b² + 2ab and check if the resulting sum contains any remaining irrational terms.
<p>an irrational number</p>
Correct Answer: B