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Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained: (i) 402 (ii) 1989 (iii) 3250 (iv) 825 (v) 4000

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NCERT Solutions for Class 8 Mathematics Chapter 6
Important NCERT Questions
Square and Square Roots Chapter 6 Exercise 6.4
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 4

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1 Answer

  1. (i) 402
    We know that, if we subtract the remainder from the
    number, we get a perfect square.
    Here, we get remainder 2.
    Therefore 2 must be subtracted from 402 to get a
    perfect square.
    ∴ 402 – 2 = 400
    Hence, the square root of 400 is 20.

    (ii) 1989
    We know that, if we subtract the remainder from the
    number, we get a perfect square.
    Here, we get remainder 53. Therefore 53 must be
    subtracted from 1989 to get a perfect square.
    ∴ 1989 – 53 = 1936
    Hence, the square root of 1936 is 44.

    (iii) 3250
    We know that, if we subtract the remainder from the
    number, we get a perfect square.
    Here, we get remainder 1. Therefore 1 must be
    subtracted from 3250 to get a perfect square.
    ∴ 3250 – 1 = 3249
    Hence, the square root of 3249 is 57.

    (iv) 825
    We know that, if we subtract the remainder from the
    number, we get a perfect square.
    Here, we get remainder 41. Therefore 41 must be
    subtracted from 825 to get a perfect square.
    ∴ 825 – 41 = 784
    Hence, the square root of 784 is 28.

    (v) 4000
    We know that, if we subtract the remainder from the
    number, we get a perfect square.
    Here, we get remainder 31. Therefore 31 must be
    subtracted from 4000 to get a perfect square.
    ∴ 4000 – 31 = 3969
    Hence, the square root of 3969 is 63.

    Class 8 Maths Chapter 6 Exercise 6.4 Solution in Video

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

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