Find the smallest number by which 1734 must be divided so that the quotient obtained is a perfect square.

Question

Find the smallest number by which 1734 must be divided so that the quotient obtained is a perfect square.

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Autumn 4 days 2021-10-11T02:18:21+00:00 1 Answer 0 views 0

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    2021-10-11T02:19:44+00:00

    Answer: Here it is

    Step-by-step explanation:

    First find the prime factors of 1734

    Prime Factors of 1734 =2, 3, 17, 17

    Which is the same as = 2 x 3 x 17^2

    We can see that 2 and 3 are single

    So 2×3 which is 6

    So your answer is 6 .

    6 is the least number which should be divided by 1734 to get a perfect square number

    Verification 1734÷6 = 289

    Which is 17 ‘ s square

    Please thank and mark brainilest

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