If (x=2^2\times3^3\times5), what is the smallest multiplier that makes (x) a perfect square?
Answer and explanation
Correct answer: (3\times5)
Step 1: A perfect square needs all exponents to be even. Step 2: (2^2) is already fine, (3^3) needs one (3), and (5^1) needs one (5). Step 3: Make only the odd exponents even.
Frequently asked questions
What is the correct answer to this question?
(3\times5)
Why is this the correct answer?
Step 1: A perfect square needs all exponents to be even. Step 2: (2^2) is already fine, (3^3) needs one (3), and (5^1) needs one (5). Step 3: Make only the odd exponents 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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