Question

Find the smallest number by which 1008 must be multiplied to get a perfect square.Also, find the square root of the perfect square so obtained.


please give me the answer as soon as possible​

Answer 1

$\huge \star \colorbox{yellow}{Answer} \star$

It can be written as

1008=2×2×2×2×3×3×7

Here

After pairing the same prime factors, one factor 7 is left.

Now multiplying 1008 by 7

We get perfect square

Therefore, the required smallest number is 7.

Answer 2

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7

The smallest number by which 1008 should be multiplied to make it perfect square is 7.