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

The square root of \(\left( {7 + 3\sqrt 5 } \right)  \left( {7 - 3\sqrt 5 } \right)\)   is

• 1]

  \(\sqrt 5 \)

• 2]

  2

• 3]

  4

• 4]

  \(3\sqrt 5 \)

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

R is a positive number. It is multiplied by 8 and then squared. The square is now divided by 4 and the square root is taken. The result of the square root is Q. What is the value of Q ?

• 1] 3R
• 2] 4R
• 3] 7R
• 4] 9R

A man born in the first half of the nineteenth century was x years old in the year x2. He was born in ?

• 1] 1806
• 2] 1812
• 3] 1825
• 4] 1836

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

• 1] 30
• 2] 34
• 3] 36
• 4] 38

What is the least number to be added to 7700 to make it a perfect square ?

• 1] 77
• 2] 98
• 3] 131
• 4] 221
• 5] None of these

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

• 1] 148
• 2] 156
• 3] 173
• 4] 177

 =

• 1]

  232

• 2]

  123

• 3]

  432

• 4]

  543

What is \(\frac{{5 + \sqrt {10} }}{{5\sqrt 5 - 2\sqrt {20} - \sqrt {32} + \sqrt {50} }}\)      equal to ?

• 1]

  5

• 2]

  \(5\sqrt 2 \)

• 3]

  \(5\sqrt 5 \)

• 4]

  \(\sqrt 5 \)