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By which smallest number should 3528 be divided to get a perfect square?
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Answer and explanation
Correct answer: 6
Step 1: (3528=72\times49=2^3\times3^2\times7^2). Step 2: For a perfect square, all exponents must be even, but the exponent of 2 is 3. Step 3: Dividing by 2 gives (2^2\times3^2\times7^2), so the smallest number is 2.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
Step 1: (3528=72\times49=2^3\times3^2\times7^2). Step 2: For a perfect square, all exponents must be even, but the exponent of 2 is 3. Step 3: Dividing by 2 gives (2^2\times3^2\times7^2), so the smallest number is 2.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Fundamental Theorem of Arithmetic.
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