By what least number should 3049200 be divided to get a perfect square? Please help me with this question Thanks in

Question

By what least number should 3049200 be divided to get a perfect square?

Please help me with this question
Thanks in advance

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Mackenzie 2 weeks 2021-11-18T11:47:38+00:00 1 Answer 0 views 0

Answers ( )

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    2021-11-18T11:48:52+00:00

    Answer:

    7

    Step-by-step explanation:

    Given the number: 3049200

    To determine the least number by which we must divide to obtain a perfect square, we first express the number as a product of its prime factors.

    3049200=2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 11 x 11

    =2^4 X 3^2 X 5^2 X 7 X 11^2

    If you observe the product in exponent form, only the power of 7 is odd. Every other number is a perfect square.

    Therefore, if we divide by 7, the result is a perfect square.

    CHECK

    \dfrac{3049200}{7} =435600\\\sqrt{435600}=660

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45:7+7-4:2-5:5*4+35:2 =? ( )