4.
Find the smallest number by which 2890 must be
divided to get a perfect square. Also, find the square
root of th

Question

4.
Find the smallest number by which 2890 must be
divided to get a perfect square. Also, find the square
root of the perfect square so obtained.​

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Sophia 2 months 2021-07-30T02:35:43+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-07-30T02:37:03+00:00

    Answer:

    Step-by-step explanation:

    (i) 252 = 2 x 2 x 3 x 3 x 7

    Here, prime factor 7 has no pair. Therefore 252 must be

    divided by 7 to make it a perfect square.

    ∴ 252 ÷ 7 = 36

    And √36 = 2 x 3 = 6


    (ii) 2925 = 3 x 3 x 5 x 5 x 13

    Here, prime factor 13 has no pair.

    Therefore 2925 must be divided by 13

    to make it a perfect square.

    ∴ 2925 ÷ 13 = 225

    And √225 = 3 x 5 = 15


    (iii) 396 = 2 x 2 x 3 x 3 x 11

    Here, prime factor 11 has no pair. Therefore 396 must be

    divided by 11 to make it a perfect square.

    ∴ 396 ÷ 11 = 36

    And √36 = 2 x 3 = 6


    (iv) 2645 = 5 x 23 x 23

    Here, prime factor 5 has no pair. Therefore 2645 must be

    divided by 5 to make it a perfect square.

    ∴ 2645 ÷ 5 = 529

    And √529 = 23 x 23 = 23


    (v) 2800 = 2 x 2 x 2 x 2 x 5 x 5 x 7

    Here, prime factor 7 has no pair. Therefore 2800 must be

    divided by 7 to make it a perfect square.

    ∴ 2800 ÷ 7 = 400

    And √400 = 2 x 2 x 5 = 20

    0
    2021-07-30T02:37:17+00:00

    Answer:

    2800=2×2×2×2×5×5×7

    Step-by-step explanation:

    i think it help you

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