Question

For each of the following number, find
the smallest number by which it should
be divided to make it a perfect square.
Also, find the square root.
b. 1008
a. 1458​

Answer 1

Step-by-step explanation:

b. By prime factorisation of 1008, we get

1008 = 2 x 2 x 2 x 2 x 3 x 3 x 7

Here, 2 and 3 are in pair, but 7 needs a pair to make 1008 a perfect square.

Thus, 1008 needs to be multiplied by 7 to become a perfect square

Hence, Answer = 7

a.By prime factorisation of 1458, we get

1458 = 2 x 3 x 3 x 3 x 3 x 3 x 3

Here, 3 are in pair, but 2 needs a pair to make 1458 a perfect square.

So, 1458 needs to be multiplied by 2 to become a perfect square.

Therefore, Answer = 2

Answer 2

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