Question

Find the smallest integer p, such that 126p is a perfect square

Answer 1

Answer:

14

Step-by-step explanation:

126=9*7*2

9 is already a square number. Multiplying by 7*2 will give the answer

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Answer 2

Prime factorise 126 to get, 126 = 2*3*3*7

To make this a perfect square (say N), we need N = (2^2)*(7^2)*(3^2)

Therfore the smallest positive interger that we need to multiply 126 with is 2*7 = 14