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4 July, 07:51

Given that 150k is the perfect sqaure find the smallest possible value of k

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Answers (2)
  1. 4 July, 10:39
    0
    K = 6

    Step-by-step explanation:

    150k = a perfect square

    150k = 900

    k = 900/150

    k = 6

    And 900 = 30 * 30
  2. 4 July, 10:58
    0
    k=6

    Step-by-step explanation:

    150=25*6=5²*6

    For 150k to be a perfect square, it is necessary that 5²*6*k to be a perfect square.

    This is accomplished when k=6 (smallest value)

    k=6, 150k=5²*6² = (5*6) ²=30²
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