By which smallest number should (2^2\times3^4\times5^5) be divided to obtain a perfect cube?
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Answer and explanation
Correct answer: (2^2\times3\times5^2)
Step 1: After division, remaining exponents must be multiples of (3). Step 2: Remove (2^2), remove (3) from (3^4), and remove (5^2) from (5^5). Step 3: Reduce each exponent to the nearest lower multiple of (3).
Frequently asked questions
What is the correct answer to this question?
(2^2\times3\times5^2)
Why is this the correct answer?
Step 1: After division, remaining exponents must be multiples of (3). Step 2: Remove (2^2), remove (3) from (3^4), and remove (5^2) from (5^5). Step 3: Reduce each exponent to the nearest lower multiple of (3).
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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