Simplification


  1. The number of digits in the square root of 625686734489 is









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    The number of digits in 625686734489 is 12.
    ∴  Number of digits in its square root = 6
    i.e., √625686734489 = 791003.625

    Correct Option: C

    The number of digits in 625686734489 is 12.
    ∴  Number of digits in its square root = 6
    i.e., √625686734489 = 791003.625


  1. If (10.15)2 = 103.0225, then the value of √1.030225 + √10302.25 is









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    (10.15)2 = 103.0225
    ⇒  (1.015)2 = 1.030225
    and  (101.5)2 = 10302.25
    ∴  √1.030225 + √10302.25
    = √(1.015)2 + √(101.5)2
    = 1.015 + 101.5
    = 102.515

    Correct Option: C

    (10.15)2 = 103.0225
    ⇒  (1.015)2 = 1.030225
    and  (101.5)2 = 10302.25
    ∴  √1.030225 + √10302.25
    = √(1.015)2 + √(101.5)2
    = 1.015 + 101.5
    = 102.515



  1.   = ?









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    Expression

    = √8 + 8 = √16 = 4

    Correct Option: A

    Expression

    = √8 + 8 = √16 = 4


  1. 110
    1
      is equal to
    4









  1. View Hint View Answer Discuss in Forum

    110
    1
    =
    441
    =
    21 × 21
    442 × 2

    =
    21
    = 10
    1
    = 10.5
    22

    Correct Option: D

    110
    1
    =
    441
    =
    21 × 21
    442 × 2

    =
    21
    = 10
    1
    = 10.5
    22



  1. The simplified value of is :









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    Expression

    = √5 + 4 = √9 = 3

    Correct Option: A

    Expression

    = √5 + 4 = √9 = 3