Question

find the smallest number by which 396 must be multiplied so that the product becomes a perfect square​

Answer 1

Answer:

11

Step-by-step explanation:

396= 2× 2×3×3×11 .

11 is not in pair so if we multiplied the given number by it will be perfect square

Answer 2

Answer:

Finding answer by trial method ,

let the smallest number be ' x '

x = 1

396 × 1 = 396

It is not a perfect square

x = 2

396 × 2 = 792

It is not a perfect square

x = 3

396 × 3 = 1188

It is not a perfect square

x = 4

396 × 4 = 1584

It is not a perfect square

x = 5

396 × 5 = 1980

It is not a perfect square

x = 6

396 × 6 = 2376

It is not a perfect square

x = 11

396 × 11 = 4356

It is a perfect square

Therefore, The smallest number is 11

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