NCERT · Class 8 · Mathematics · Square and Square RootsBy what smallest natural number should 32 be multiplied to get a perfect square?
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Step-by-Step Solution
Prime factorisation of 32: $$32 = 2 \times 2 \times 2 \times 2 \times 2 = (2 \times 2) \times (2 \times 2) \times 2$$ \nHere, one $2$ is unpaired. So, 32 must be multiplied by 2 to form pairs.
Detailed Options Breakdown
Option : 2 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 3
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Square and Square Roots.
Option 2: 4
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Square and Square Roots.
Option 3: 8
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Square and Square Roots.
💡 Study Guide: This question tests core syllabus concepts from Square and Square Roots. For formulas, key summaries, and mock exam reference guides, read the full Square and Square Roots Revision Notes.