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Subjects
Class 10MathematicsReal NumbersPrime FactorisationHardLevel 8

If the number is (2^5\times3^4\times5^2\times7), by which smallest number should it be multiplied to make a perfect square?

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Answer and explanation

Correct answer: 14

Step 1: For a perfect square, all exponents must be even. Step 2: The powers of 2 and 7 are odd. Step 3: Multiplying by (2\times7=14) makes all exponents even.

Tags

perfect-squareprime-exponentshard

Frequently asked questions

What is the correct answer to this question?

14

Why is this the correct answer?

Step 1: For a perfect square, all exponents must be even. Step 2: The powers of 2 and 7 are odd. Step 3: Multiplying by (2\times7=14) makes all 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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