Question

10. Find the smallest number by which 768 is to be multiplied to obtain a perfect square number. Also, find the square root of that number

Answer 1

Answer:

By prime factorisation of 768, we get

768 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Here, 2 are in pair, but 3 needs a pair to make 768 a perfect square.

So, 768 needs to be multiplied by 3 to become a perfect square.

Hence, Answer = 3

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