Simplification


  1. The square root of  
    0.342 × 0.684
      is :
    0.000342 × 0.000171









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    0.342 × 0.684
    0.000342 × 0.000171

    =
    342 × 684 × 106
    342 × 171

    = √4 × 106 = 2 × 103 = 2000

    Correct Option: C

    0.342 × 0.684
    0.000342 × 0.000171

    =
    342 × 684 × 106
    342 × 171

    = √4 × 106 = 2 × 103 = 2000


  1. The value of  
    0.441
      is equal to :
    0.625









  1. View Hint View Answer Discuss in Forum

    Expression =
    0.441
    0.625

    =
    0.441
    =
    441
    0.625 625

    =
    21
    = 0.84
    25

    Correct Option: B

    Expression =
    0.441
    0.625

    =
    0.441
    =
    441
    0.625 625

    =
    21
    = 0.84
    25



  1. The value of √0.000441 is equal to :









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    0.000441
    = √0.021 × 0.021
    = 0.021

    Correct Option: C

    0.000441
    = √0.021 × 0.021
    = 0.021


  1. The square root of (2722 − 1282) is :









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    ? = √(2722 − 1282)
    = √(272 + 128)(272 − 128)
    = √400 × 144
    = 200 × 12 = 240

    Correct Option: C

    ? = √(2722 − 1282)
    = √(272 + 128)(272 − 128)
    = √400 × 144
    = 200 × 12 = 240



  1. The square root of :  
    (0.75)3
    + [0.75 + (0.75)2 + 1 ]   is :
    1 − 0.75









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    =
    (0.75)3 + (1 − 0.75) ((0.75)2 + 0.75 × 1 + 12)
    1 − 0.75

    =
    (0.75)3 + 13 − (0.75)3
    0.25

    =
    1
    =
    100
    = 4
    0.2525

    ∴  Required square root
    = √4 = 2

    Correct Option: C

    =
    (0.75)3 + (1 − 0.75) ((0.75)2 + 0.75 × 1 + 12)
    1 − 0.75

    =
    (0.75)3 + 13 − (0.75)3
    0.25

    =
    1
    =
    100
    = 4
    0.2525

    ∴  Required square root
    = √4 = 2