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Which smallest number should be multiplied by (2^3\times3^2\times5) to get a perfect square?

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Answer and explanation

Correct answer: (2\times5)

Step 1: A perfect square needs every exponent even. Step 2: (2^3) and (5^1) have odd powers, so multiply by (2\times5). Step 3: Do not multiply the prime whose exponent is already even.

Related tags

Real NumbersLeast MultiplierPerfect SquarePrime Factorisation

Frequently asked questions

What is the correct answer to this question?

(2\times5)

Why is this the correct answer?

Step 1: A perfect square needs every exponent even. Step 2: (2^3) and (5^1) have odd powers, so multiply by (2\times5). Step 3: Do not multiply the prime whose exponent is already 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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