Find the perfect square of 3675. By prime factorisation

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Find the perfect square of 3675. By prime factorisation

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Sophia 6 days 2021-09-10T10:16:15+00:00 1 Answer 0 views 0

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    2021-09-10T10:17:25+00:00

    Answer:

    The factors of 3675 are 5*5*7*7*3 since 3 doesn’t has a pair so we will multiply the number by 3 to get a complete pair of 3

    ✓(3675*3)=✓(5*5*7*7*3*3)= 5*7*3

    So we must multiply 3 to make 3675 a perfect square.

    Step-by-step explanation:

    3675/3=1225

    1225/5=245

    245/5=49

    49/7=7

    7/7=1

    Here, prime factors of 3675 are 3 x 5×5 x 7×7

    Here we are not having pair of 3 so we will multiply 3675 by 3 to make it a perfect square = 3675 * 3 = 11025 = 3×3 x 5×5 x 7×7

    Square root of 11025 = 3x5x7

    11025’s square root is 105

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