Quiz Discussion

\(\frac{1}{{\left( {\sqrt 9 - \sqrt 8 } \right)}} -   \frac{1}{{\left( {\sqrt 8 - \sqrt 7 } \right)}} +   \frac{1}{{\left( {\sqrt 7 - \sqrt 6 } \right)}} -   \frac{1}{{\left( {\sqrt 6 - \sqrt 5 } \right)}} +   \frac{1}{{\left( {\sqrt 5 - \sqrt 4 } \right)}}\)   is equal to ?

• 1]

  0

• 2]

  1/3

• 3]

  1

• 4]

  5

If \(\sqrt 5 = 2.236, \)   then the value of \(\frac{{\sqrt 5 }}{2} - \frac{{10}}{{\sqrt 5 }} + \sqrt {125} \)   is equal to :

• 1] 5.59
• 2] 7.826
• 3] 8.944
• 4] 10.062

What is the smallest number by which 3600 be divided to make it a perfect cube ?

• 1] 9
• 2] 50
• 3] 300
• 4] 450

The cube root of .000216 is:

• 1] .6
• 2] .06
• 3] 77
• 4] 87

\(\sqrt {\sqrt {17956} + \sqrt {24025} } = ?\)

• 1] 19
• 2] 155
• 3] 256
• 4] 289
• 5] None of these

If 1537* is a perfect square, then the digit which replace * is = ?

• 1] 2
• 2] 4
• 3] 5
• 4] 6

The smallest natural number which is a perfect square and which ends in 3 identical digits lies between ?

• 1] 1000 and 2000
• 2] 2000 and 3000
• 3] 3000 and 4000
• 4] 4000 and 5000

If \(3a = 4b = 6c   \)  and \(a + b + c = 27\sqrt {29} { \text{,}}   \) then\( \sqrt {{a^2} + {b^2} + {c^2}} \)is ?

• 1]

  \(3\sqrt {29} \)

• 2]

  81

• 3]

  87

• 4]

  None of these

\(\sqrt {176 + \sqrt {2401} } \)    is equal to = ?

• 1] 14
• 2] 15
• 3] 18
• 4] 24

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