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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 | Workspace | Discuss In Forum | Report

    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.

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  1. If √y/169 = 54/39, then y is equal to ?
    1. 108
    2. 324
    3. 2916
    4. 4800
  1. View Hint | View Answer | Workspace | Discuss In Forum | Report

    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

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  1. 112/√196 x √579/12 x √256/8 = ?
    1. 8
    2. 12
    3. 16
    4. 32
  1. View Hint | View Answer | Workspace | Discuss In Forum | Report

    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

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  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
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    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

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  1. .04
    1. .02
    2. .2
    3. .002
    4. None of these
  1. View Hint | View Answer | Workspace | Discuss In Forum | Report

    .04 = √4/100

    Correct Option: B

    .04 = √4/100
    = 2/10
    = 0.2

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