Quiz Discussion

The square root of 123454321 is = ?

• 1] 111111
• 2] 12341
• 3] 11111
• 4] 11211

If \(a = \frac{{\sqrt 3 + \sqrt 2 }}{{\sqrt 3 - \sqrt 2 }},   b = \frac{{\sqrt 3 - \sqrt 2 }}{{\sqrt 3 + \sqrt 2 }}\)   then the value of \({a^2} + {b^2}\)   would be = ?

• 1] 10
• 2] 98
• 3] 99
• 4] 100

If \(x = 3 + \sqrt 8 ,   \) then \({x^2} + \frac{1}{{{x^2}}}\) is equal to = ?

• 1] 30
• 2] 34
• 3] 36
• 4] 38

Given \(\sqrt 2 = 1.414.\)   Then the value of \(\sqrt 8\)  + \(2\sqrt {32} \)  -  \(3\sqrt {128}\)  + \(4\sqrt {50}\)   is = ?

• 1] 8.426
• 2] 8.484
• 3] 8.526
• 4] 8.876

Which smallest number must be added to 710 so that the sum is a perfect cube ?

• 1] 11
• 2] 19
• 3] 21
• 4] 29

\(\left( {\frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }} + \frac{{2 - \sqrt 3 }}{{2 + \sqrt 3 }} + \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}} \right) \)     simplifies to = ?

• 1]

  \(16 - \sqrt 3 \)

• 2]

  \(4 - \sqrt 3 \)

• 3]

  \(2 - \sqrt 3 \)

• 4]

  \(2 + \sqrt 3 \)

For what value of * the statement  = 1 is true?

• 1] 15
• 2] 25
• 3] 35
• 4] 45

\(\sqrt {\frac{{16}}{{25}}} \times \sqrt {\frac{?}{{25}}} \times \frac{{16}}{{25}} = \frac{{256}}{{625}}\)

• 1] 5
• 2] 8
• 3] 16
• 4] None of these

If \(a = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}}   \) and \(b = \frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}},\)   the value of \(\left( {\frac{{{a^2} + ab + {b^2}}}{{{a^2} - ab + {b^2}}}} \right)\)   is ?

• 1]

  3/4

• 2]

  4/3

• 3]

  3/5

• 4]

  5/3

\(\sqrt {11881} \times \sqrt ? = 10137\)

• 1] 8281
• 2] 8649
• 3] 9216
• 4] 9409
• 5] None of these