Quiz Discussion

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

• 1] 30
• 2] 34
• 3] 36
• 4] 38

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

If \(a = \frac{{\sqrt 3 }}{2}{ \text{}}\)   then \(\sqrt {1 + a} + \sqrt {1 - a} = ?\)

• 1]

  \(\left( {2 - \sqrt 3 } \right)\)

• 2]

  \(\left( {2 + \sqrt 3 } \right)\)

• 3]

  \(\left( {\frac{{\sqrt 3 }}{2}} \right)\)

• 4]

  \(\sqrt 3 \)

The value of \(\sqrt {0.000441} \)  is = ?

• 1] 0.00021
• 2] 0.0021
• 3] 0.021
• 4] 0.21

The number of trees in each row of a garden is equal to the total number of rows in the garden. After 111 trees have been uprooted in a storm, there remain 10914 trees in the garden. The number of rows of trees in the garden is = ?

• 1] 100
• 2] 105
• 3] 115
• 4] 125

What is the least number which should be subtracted 0.000326 in order to make it a perfect square = ?

• 1] 0.000002
• 2] 0.000004
• 3] 0.02
• 4] 0.04

In the equation \(\frac{{4050}}{{\sqrt x }} = 450{ \text{}}\)   the value of x is = ?

• 1] 9
• 2] 49
• 3] 81
• 4] 100

The square root of \(\frac{{{{\left( {0.75} \right)}^3}}}{{1 - 0.75}} { \text{ + }}\left[ {0.75 + {{\left( {0.75} \right)}^2} + 1} \right]\)    is = ?

• 1] 1
• 2] 2
• 3] 3
• 4] 4

\({\left[ {{{\left( {\sqrt {81} } \right)}^2}} \right]^2} = {\left( ? \right)^2}\)

• 1] 8
• 2] 9
• 3] 4096
• 4] 6561
• 5] None of these

The value of \(\sqrt {0.121} \)   is = ?

• 1] 0.011
• 2] 0.11
• 3] 0.347
• 4] 1.1