Simplification


  1. The sum of √0.01 + √0.81 + √1.21 + √0.0009 is :









  1. View Hint View Answer Discuss in Forum

    0.01 + √0.81 + √1.21 + √0.0009
    = 0.1 + 0.9 + 1.1 + 0.03
    = 2.13

    Correct Option: B

    0.01 + √0.81 + √1.21 + √0.0009
    = 0.1 + 0.9 + 1.1 + 0.03
    = 2.13


  1. The value of  
    (0.3)2 + (0.21)2 + (0.065)2
      is :
    (0.003)2 + (0.021)2 + (0.0065)2









  1. View Hint View Answer Discuss in Forum

    Let 0.03 = x ⇒ 0.003 =
    x
    10

    0.21 = y ⇒ 0.021 =
    y
    10

    and 0.065 = z ⇒ 0.0065 =
    z
    10


    = √100 = 10

    Correct Option: B

    Let 0.03 = x ⇒ 0.003 =
    x
    10

    0.21 = y ⇒ 0.021 =
    y
    10

    and 0.065 = z ⇒ 0.0065 =
    z
    10


    = √100 = 10



  1. The value of  
    (0.1)2 + (0.01)2 + (0.009)2
      is :
    (0.01)2 + (0.001)2 + (0.0009)2









  1. View Hint View Answer Discuss in Forum

    (0.1)2 + (0.01)2 + (0.009)2
    (0.01)2 + (0.001)2 + (0.0009)2

    0.01 + 0.0001 + 0.000081
    0.0001 + 0.000001 + 0.00000081

    0.0010181
    0.00010181

    = √100 = 10

    Correct Option: B

    (0.1)2 + (0.01)2 + (0.009)2
    (0.01)2 + (0.001)2 + (0.0009)2

    0.01 + 0.0001 + 0.000081
    0.0001 + 0.000001 + 0.00000081

    0.0010181
    0.00010181

    = √100 = 10


  1. The value of  
    80 −√112
      is:
    45 −√63









  1. View Hint View Answer Discuss in Forum

    80 −√112
    45 −√63

    =
    16 × 5 −√16 × 7
    9 × 5 −√9 × 7

    =
    4√5 − 4√7
    =
    4(√5 − √7)
    3√5 − 3√73(√5 − √7)

    =
    4
    = 1
    1
    33

    Correct Option: C

    80 −√112
    45 −√63

    =
    16 × 5 −√16 × 7
    9 × 5 −√9 × 7

    =
    4√5 − 4√7
    =
    4(√5 − √7)
    3√5 − 3√73(√5 − √7)

    =
    4
    = 1
    1
    33



  1. (√72 − √18) ÷ √12 is equal to:









  1. View Hint View Answer Discuss in Forum

    (√72 − √18) ÷ √12

    =
    6√2 − 3√2
    =
    3√2
    ×
    3
    2√32√33

    =
    6
    2

    Correct Option: D

    (√72 − √18) ÷ √12

    =
    6√2 − 3√2
    =
    3√2
    ×
    3
    2√32√33

    =
    6
    2