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Find the square roots of the following numbers by the Prime Factorization method: (i) 729 (ii) 400 (iii) 1764 (iv) 4096 (v) 7744 (vi) 9604 (vii) 5929 (viii) 9216 (ix) 529 (x) 8100

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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: 4

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1 Answer

  1. (i) 729
    √729 = √3x3x3x3x3x3x
    = 3x3x3
    = 27

    (ii) 400
    √400 = √2x2x2x2x5x5
    = 2x2x5
    = 20

    (iii) 1764
    √1764 = √2x2x3x3x7x7
    = 2x3x7
    = 42
    (iv) 4096
    √4096 = √2x2x2x2x2x2x2x2x2x2x2x2
    = 2x2x2x2x2x2x
    = 64
    (v) 7744
    √7744 = √2x2x2x2x2x2x11x11
    = 2x2x2x11
    = 88
    (vi) 9604
    √9604 = √2x2x7x7x7x7
    = 2x7x7
    = 98

    (vii) 5929
    √5929 = √7x7x11x11
    = √7×11
    = 77
    (viii) 9216
    √9216 = √2x2x2x2x2x2x2x2x2x2x3x3
    = 2x2x2x2x2x3
    = 96

    (ix) 529
    √529 = √23×23
    = 23
    (x) 8100
    √8100 =√2x2x3x3x3x3x5x5
    = 2x3x3x5
    = 90

    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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