If (N=2^5 \times 3), why will (\sqrt{N}) not be an integer?
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Answer and explanation
Correct answer: Because all exponents are not even
Step 1: The square root of a number is an integer only when all prime exponents are even. Step 2: In (2^5 \times 3), the exponents are (5) and (1), both odd. Step 3: For square-root questions, check evenness of exponents first.
Frequently asked questions
What is the correct answer to this question?
Because all exponents are not even
Why is this the correct answer?
Step 1: The square root of a number is an integer only when all prime exponents are even. Step 2: In (2^5 \times 3), the exponents are (5) and (1), both odd. Step 3: For square-root questions, check evenness of exponents first.
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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