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What is the smallest positive number by which 10800 must be multiplied to get a perfect square?
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Answer and explanation
Correct answer: 3
Step 1: (10800=108\times100=2^4\times3^3\times5^2). Step 2: For a perfect square, all exponents must be even, but the exponent of 3 is 3. Step 3: Multiplying by 3 makes the exponent 4, so the smallest number is 3.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
Step 1: (10800=108\times100=2^4\times3^3\times5^2). Step 2: For a perfect square, all exponents must be even, but the exponent of 3 is 3. Step 3: Multiplying by 3 makes the exponent 4, so the smallest number is 3.
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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