Simplification


  1. The value of   √19.36 + √0.1936 + √0.001936 + √0.00001936   is :









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    19.36 + √0.1936 + √0.001936 + √0.00001936
    = 4.4 + 0.44 + 0.044 + 0.0044
    = 4.8884

    Correct Option: C

    19.36 + √0.1936 + √0.001936 + √0.00001936
    = 4.4 + 0.44 + 0.044 + 0.0044
    = 4.8884


  1. The value of  
    0.064 × 0.256 × 15.625
      is
    0.25 × 0.625 × 4.096









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    Expression

    =  
    0.064 × 0.256 × 15.625
    0.025 × 0.625 × 4.096

    =  
    64 × 256 × 15625
    25 × 625 × 4096

    =  
    8 × 16 × 25
    = 2
    5 × 25 × 64

    Correct Option: A

    Expression

    =  
    0.064 × 0.256 × 15.625
    0.025 × 0.625 × 4.096

    =  
    64 × 256 × 15625
    25 × 625 × 4096

    =  
    8 × 16 × 25
    = 2
    5 × 25 × 64



  1. If (1101)2 = 1212201, find the value of √121.220l .









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    (1101)2 = 1212201
    ⇒  1101 = √1212201
    121.2201

    ⇒ 
    121.2201
    =
    1101
    = 11.01
    10000100

    Correct Option: B

    (1101)2 = 1212201
    ⇒  1101 = √1212201
    121.2201

    ⇒ 
    121.2201
    =
    1101
    = 11.01
    10000100


  1. The square root of   21
    51
      is
    169









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    = 21
    51
    =
    21 × 169 + 51
    =
    3600
    169169169

    ∴ 21
    51
    =
    3600
    =
    60
    16916913

    = 4
    8
    13

    Correct Option: B

    = 21
    51
    =
    21 × 169 + 51
    =
    3600
    169169169

    ∴ 21
    51
    =
    3600
    =
    60
    16916913

    = 4
    8
    13



  1. If √18225 = 135 , then the value of
    18225 + √182.25 + √1.8225 + √0.018225 is









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    18225 = 135
    ∴  √182.25 = 13.5 ;
    1.8225 = 1.35 ;
    0.018225 = 0.135
    ∴  = 135 + 13.5 + 1.35 +0.135
    = 149.985

    Correct Option: B

    18225 = 135
    ∴  √182.25 = 13.5 ;
    1.8225 = 1.35 ;
    0.018225 = 0.135
    ∴  = 135 + 13.5 + 1.35 +0.135
    = 149.985