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If a number has prime factorisation (2^6\times3^4\times5^2), what is its square root?
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Answer and explanation
Correct answer: (2^3\times3^2\times5)
Step 1: In square root, each prime exponent becomes half. Step 2: (2^6) becomes (2^3), (3^4) becomes (3^2), and (5^2) becomes (5). Step 3: This direct method works when all exponents are even.
Frequently asked questions
What is the correct answer to this question?
(2^3\times3^2\times5)
Why is this the correct answer?
Step 1: In square root, each prime exponent becomes half. Step 2: (2^6) becomes (2^3), (3^4) becomes (3^2), and (5^2) becomes (5). Step 3: This direct method works when all exponents are even.
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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