Question

Find the smallest number by which 1008 should be divided so as to get a perfect square

Answer 1

Answer:

1008/7=144

sequerroot of 144=12

Answer 2

Step-by-step explanation:

By the prime factoristaion of 1008, we get

$1008 = 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 7 \\ 1008 = {2}^{4} \times {3}^{2} \times 7 \\ 1008 = {12}^{2} \times 7$

Hence , if 1008 is divided by 7, we get 144 which is a perfect square.

So, the smallest number by which 1008 should be divided to get a perfect square is 7.

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