Question

fund the smallest whole number by which 1008 should be multipled so as to a perfect square number also find the square root of the square number so obtained​

Answer 1

Your answer:

1008 =2 × 2 × 2 × 3 × 3 × 3  × 7

Since all 2s and 3s are paired and only 7 is not paired:

The smallest whole number is 7, by which 1008 should be multiplied so as  to get a perfect square

1008 × 7 = 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7

7056 = (2 × 2 × 3 × 7 )²

= 84

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Answer 2

Answer:

Your answer is 7.

Step-by-step explanation:

First, we will write 1008 in the form of its prime factors.

1008 = 2 × 2 × 2 × 3 × 3 × 2 × 7

We will write these factors in pairs.

1008 = 2 × 2 × 2 × 2 × 3 × 3 × 7

We see, only 7 is the number which does not form a pair.

So, we will multiply 1008 by 7.

Hence, 7 is the smallest whole number by which 1008 must be multiplied in order to form a perfect square.