find the smallest number by which each of the following number must be multiplied to obtain perfect square (1) 135
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Step-by-step explanation:
Thus, 2 is the required smallest number. (iii) Prime factorization of 135 is: 135 = 3 × 3 × 3 × 5 = 33 × 5 Here, 5 is the smallest number by which 135 is divided to make a perfect cube, i.e., 135 ÷ 5 = 27 which is a perfect cube. Thus, 5 is the required smallest number.
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