Question

Identify whether 1352 is perfect square number if not then find the smallest number by which is given number should be multiplied not make them perfect square number .

please help me !!!!!​

Answer 1

• The number by which the given number should be multiplied is 2.

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Find the prime factors of 1352:

• 1352 = 2*2*2*13*13 = 2³*13²

We need another factor of 2 as a minimum added in order to have even number of same factors:

• 2⁴*13² = (2²*13)² = (4*13)² = 52²

Hence we need to multiply the given number by 2.