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Home Aptitude Square Root and Cube Root Comments

  • Question
  • If x = √3 + 1 and y = √3 - 1 , then the value of (x2 + y2) is:
    √3 - 1 √3 + 1


  • Options
  • A. 10
  • B. 13
  • C. 14
  • D. 15

  • Correct Answer
  • 14 

    Explanation

    x = (√3 + 1) x (√3 + 1) = (√3 + 1)2 = 3 + 1 + 2√3 = 2 + √3.
    (√3 - 1) (√3 + 1) (3 - 1) 2

    y = (√3 - 1) x (√3 - 1) = (√3 - 1)2 = 3 + 1 - 2√3 = 2 - √3.
    (√3 + 1) (√3 - 1) (3 - 1) 2

    x2 + y2 = (2 + √3)2 + (2 - √3)2

       = 2(4 + 3)

       = 14


    Square Root and Cube Root problems


    Search Results


    • 1. A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:

    • Options
    • A. 57
    • B. 67
    • C. 77
    • D. 87
    • Discuss
    • 2. The cube root of .000216 is:

    • Options
    • A. .6
    • B. .06
    • C. 77
    • D. 87
    • Discuss
    • 3. 
      The fraction 101 27 in decimal for is:
      100000

    • Options
    • A. .01027
    • B. .10127
    • C. 101.00027
    • D. 101.000027
    • Discuss
    • 4. 
      The value of 0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02 is:
      0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04

    • Options
    • A. 0.0125
    • B. 0.125
    • C. 0.25
    • D. 0.5
    • Discuss
    • 5. 34.95 + 240.016 + 23.98 =?

    • Options
    • A. 298.0946
    • B. 298.111
    • C. 298.946
    • D. 299.09
    • Discuss
    • 6. How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 8?

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. None of these
    • Discuss
    • 7. 
      If √5 = 2.236, then the value of √5 - 10 + √125 is equal to:
      2 √5

    • Options
    • A. 5.59
    • B. 7.826
    • C. 8.944
    • D. 10.062
    • Discuss
    • 8. 
      √625 x 14 x 11 is equal to:
      11 √25 √196

    • Options
    • A. 5
    • B. 6
    • C. 8
    • D. 11
    • Discuss
    • 9. √0.0169 x? = 1.3


    • Options
    • A. 10
    • B. 100
    • C. 1000
    • D. None of these
    • Discuss
    • 10. The square root of 64009 is:

    • Options
    • A. 253
    • B. 347
    • C. 363
    • D. 803
    • Discuss


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