Square root and cube root


  1. Find the cube root of 19683.
    1. 25
    2. 26
    3. 28
    4. 27

  1. View Hint View Answer Discuss in Forum

    In 19683, 19 lies between 23 and 33, so left digit is 2 and 683 ends with 3, so right digit is 7.

    Correct Option: D

    In 19683, 19 lies between 23 and 33, so left digit is 2 and 683 ends with 3, so right digit is 7.
    thus 27 is a cube root of 19683.


  1. If √y/169 = 54/39, then y is equal to ?
    1. 108
    2. 324
    3. 2916
    4. 4800

  1. View Hint View Answer Discuss in Forum

    y/169= 54/39
    ⇒ y/169 = (54/39) x (54/39)

    Correct Option: B

    y/169= 54/39
    ⇒ y/169 = (54/39) x (54/39)
    ∴ y= (54/39) x (54/39) x 169 = 324



  1. 112/√196 x √579/12 x √256/8 = ?
    1. 8
    2. 12
    3. 16
    4. 32

  1. View Hint View Answer Discuss in Forum

    Given Expression 112/√196 x √579/12 x √256/8
    =(112/14) x (24/12) x (16/8)

    Correct Option: D

    Given Expression 112/√196 x √579/12 x √256/8
    =(112/14) x (24/12) x (16/8)
    = 32


  1. Given that √4096 = 64, the value of √4096 + √40.96 + √.004096 is ?
    1. 70.4
    2. 70.464
    3. 71.104
    4. 71.4

  1. View Hint View Answer Discuss in Forum

    4096 + √40.96 + √.004096
    = √4096 + √4096/100 + √4096/1000000
    =√4096 + √4096/10 + √4096/1000

    Correct Option: B

    4096 + √40.96 + √.004096
    = √4096 + √4096/100 + √4096/1000000
    =√4096 + √4096/10 + √4096/1000
    = 64 + 64/10 + 64/1000
    = 70.464



  1. .04
    1. .02
    2. .2
    3. .002
    4. None of these

  1. View Hint View Answer Discuss in Forum

    .04 = √4/100

    Correct Option: B

    .04 = √4/100
    = 2/10
    = 0.2