Quiz Discussion

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

• 1] 15
• 2] 25
• 3] 35
• 4] 45

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

• 1]

  \(16 - \sqrt 3 \)

• 2]

  \(4 - \sqrt 3 \)

• 3]

  \(2 - \sqrt 3 \)

• 4]

  \(2 + \sqrt 3 \)

The cube root of .000216 is:

• 1] .6
• 2] .06
• 3] 77
• 4] 87

\(1728 \div \root 3 \of {262144} \times ? - 288\)      = 4491

• 1] 148
• 2] 156
• 3] 173
• 4] 177

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

Find the square root of 3 upto three decimal places

• 1]

  1.732

• 2]

  2.732

• 3]

  1.222

• 4]

  1.414

\(\sqrt {0.0169 \times ?} = 1.3\)

• 1] 10
• 2] 100
• 3] 1000
• 4] None of these

The least number by which 294 must be multiplied to make it a perfect square, is = ?

• 1] 2
• 2] 3
• 3] 6
• 4] 24

If \(\sqrt 5 = 2.236{ \text{,}}\)   then the value of \(\frac{1}{{\sqrt 5 }} \) is = ?

• 1] 0.367
• 2] 0.447
• 3] 0.745
• 4] None of these