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If (x=2^2\times3^3\times5), what is the smallest multiplier that makes (x) a perfect square?

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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.

Related tags

Real NumbersPerfect SquareMultiplierPrime Factorisation

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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