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Find the smallest number by which 1100 must be multiplied so that the productbecomes a perfect square. Also, find the square root of the perfect square soobtained.By what smallest number must 180 be multiplied so that it becomes a perfectsquare? Also, find the square root of the number so obtained. |
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Answer» Answer: 1100, 30.Step-by-step explanation: 1100 = 11 * 5 * 2. Here, every prime factor appears only once. Hence to make it a PERFECT SQUARE, it must be multiplied by 1100 (11 * 5 * 2) itself. It GIVES the square root as 1100. 180 = 3 * 3 * 2 * 2 * 5. Here, the only prime factor that doesn't form a PAIR is 5. hence, 180 must be multiplied by 5 to make it a perfect square. The square root thus obtained WOULD be 3 * 2 * 5 = 30. |
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