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By the least number should (2^4 \times 3^2) be multiplied to make it a perfect cube?
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Answer and explanation
Correct answer: 18
Step 1: In a perfect cube, every prime exponent must be a multiple of (3). Step 2: (2^4) needs (2^2) to become (2^6), and (3^2) needs (3) to become (3^3). The least multiplier is (12). Step 3: Since (12) is not in the options, the listed choices contain an error.
Frequently asked questions
What is the correct answer to this question?
18
Why is this the correct answer?
Step 1: In a perfect cube, every prime exponent must be a multiple of (3). Step 2: (2^4) needs (2^2) to become (2^6), and (3^2) needs (3) to become (3^3). The least multiplier is (12). Step 3: Since (12) is not in the options, the listed choices contain an error.
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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