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

The square root of \({ \text{0}}{ \text{.}}\overline { \text{4}} \)  is ?

• 1]

  \(0.\overline 6 \)

• 2]

  \(0.\overline 7 \)

• 3]

  \(0.\overline 8 \)

• 4]

  \(0.\overline 9 \)

If \(x = \frac{{\sqrt 3 + 1}}{{\sqrt 3 - 1}}   \)  \(y = \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}\)and then the value of \(\left( {{x^2} + {y^2}} \right)\)   is?

• 1] 10
• 2] 13
• 3] 14
• 4] 15

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 value of \(\frac{{1 + \sqrt {0.01} }}{{1 - \sqrt {0.1} }}\)   is close to = ?

• 1] 0.6
• 2] 1.1
• 3] 1.6
• 4] 1.7

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

• 1] 14
• 2] 15
• 3] 18
• 4] 24

Given that \(\sqrt 3 = 1.732{ \text{,}}   \)  the value of \(\frac{{3 + \sqrt 6 }}{{5\sqrt 3 - 2\sqrt {12} - \sqrt {32} + \sqrt {50} }}\)    is ?

• 1] 1.414
• 2] 1.732
• 3] 2.551
• 4] 4.899

The square root of 64009 is:

• 1] 253
• 2] 347
• 3] 363
• 4] 803

The value of \(\sqrt {0.01} { \text{ + }} \sqrt {0.81} { \text{ + }} \sqrt {1.21} { \text{ + }} \sqrt {0.0009} \)  is = ?

• 1] 2.03
• 2] 2.1
• 3] 2.11
• 4] 2.13