Quiz Discussion

Given \(\sqrt 5 = 2.2361,   \sqrt 3 = 1.7321{ \text{,}}   then \frac{1}{{\sqrt 5 - \sqrt 3 }}\)   is equal to ?

• 1] 1.98
• 2] 1.984
• 3] 1.9841
• 4] 2

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]

  \(\sqrt 5 \)

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

Three fifth of the square of a certain number is 126.15, What is the number?

• 1]

  210.25

• 2]

  75.69

• 3]

  14.5

• 4]

  145

The value of     is ?

• 1]

  0.1

• 2]

  10

• 3]

  \({10^2}\)

• 4]

  \({10^3}\)

If \(3\sqrt 5 + \sqrt {125} \)   = 17.88, then what will be the value of \(\sqrt {80} + 6\sqrt 5 ?\)

• 1] 13.41
• 2] 20.46
• 3] 21.66
• 4] 22.35

By what least number must 21600 be multiplied so as to make it perfect cube ?

• 1] 6
• 2] 10
• 3] 20
• 4] 30

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

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

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]

  \(\sqrt 3 \)

If = the value of x is = ?

• 1] 52
• 2] 58
• 3] 62
• 4] 68