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For each of the following numbers, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained: (i) 252 (ii) 2925 (iii) 396 (iv) 2645 (v) 2800 (vi) 1620

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NCERT Solutions for Class 8 Mathematics Chapter 6
Important NCERT Questions
Square and Square Roots Chapter 6 Exercise 6.3
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 6

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2 Answers

  1. (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

    Class 8 Maths Chapter 6 Exercise 6.3 Solution in Video

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-6/

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  2. (vi) 1620 = 2 x 2 x 3 x 3 x 3 x 3 x 5
    Here, prime factor 5 has no pair. Therefore 1620 must be
    divided by 5 to make it a perfect square.
    ∴ 1620 ÷ 5 = 324
    And √324 = 2 x 3 x 3 = 18

    Class 8 Maths Chapter 6 Exercise 6.3 Solution in Video

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-6/

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