Question

Find the smallest no. By which 126 must be multiplied so that the product is a perfect square

Answer 1

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Answer 2

14 must be multiplied with 126 so that the product is a perfect square.

Step-by-step explanation:

Finding factors of 126,

126 = 2 x 3 x 3 x 7

There are two 3's , one 2 and one 7 in the product of factors.

If we multiply another 2 and 7 in that number then the number will be a perfect square.

So, the smallest number to be multiplied = 2 x 7 = 14.

Hence, 14 must be multiplied with 126 so that the product is a perfect square.