Answer:
14
Step-by-step explanation:
126*14 = 1764
square root of 1764 = 42
1.
find the factors of 126
126=9*7*2
9 is already a square number. Multiplying by 7*2 will give the answer
OR
2.
Prime factorize or find the prime factors of 126
a.
first one is 2
square it
you get 4
b.
next one is 3
square it
you get 9
c.
so far you got 36
d.
next one is 7
square it
you get 49
Prime factorize 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)
Therefore the smallest positive integer that we need to multiply 126 with is 2*7 = 14
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