If (N=2^4 \times 3^2), what is (\sqrt{N}) equal to?
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Answer and explanation
Correct answer: (2^2 \times 3)
Step 1: When taking a square root, halve the prime exponents. Step 2: (2^4) becomes (2^2) and (3^2) becomes (3), so (\sqrt{N}=2^2 \times 3). Step 3: In square roots, halve exponents, not bases.
Frequently asked questions
What is the correct answer to this question?
(2^2 \times 3)
Why is this the correct answer?
Step 1: When taking a square root, halve the prime exponents. Step 2: (2^4) becomes (2^2) and (3^2) becomes (3), so (\sqrt{N}=2^2 \times 3). Step 3: In square roots, halve exponents, not bases.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.
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