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If (N=2^3 \times 3^4), why will (\sqrt{N}) not be an integer?
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Answer and explanation
Correct answer: Because the exponent of (2) is not even
Step 1: A square root is an integer only when all prime exponents are even. Step 2: In (2^3 \times 3^4), the exponent of (2) is (3), which is odd. Step 3: In square-root questions, check the evenness of each exponent.
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What is the correct answer to this question?
Because the exponent of (2) is not even
Why is this the correct answer?
Step 1: A square root is an integer only when all prime exponents are even. Step 2: In (2^3 \times 3^4), the exponent of (2) is (3), which is odd. Step 3: In square-root questions, check the evenness of each exponent.
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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