Quiz Discussion

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 \(a = \frac{{\sqrt 3 + \sqrt 2 }}{{\sqrt 3 - \sqrt 2 }},   b = \frac{{\sqrt 3 - \sqrt 2 }}{{\sqrt 3 + \sqrt 2 }}\)   then the value of \({a^2} + {b^2}\)   would be = ?

• 1] 10
• 2] 98
• 3] 99
• 4] 100

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

• 1] 2
• 2] 4
• 3] 5
• 4] 6

The approximate value of \(\frac{{3\sqrt {12} }}{{2\sqrt {28} }} \div \frac{{2\sqrt {21} }}{{\sqrt {98} }}\)  is ?

• 1] 1.0605
• 2] 1.0727
• 3] 1.6007
• 4] 1.6026

The value of \(\sqrt {0.000441} \)  is = ?

• 1] 0.00021
• 2] 0.0021
• 3] 0.021
• 4] 0.21

The least perfect square, which is divisible by each of 21, 36 and 66 is:

• 1] 213444
• 2] 214344
• 3] 214434
• 4] 231444

\({1.5^2} \times \sqrt {0.0225} = ?\)

• 1] 0.0375
• 2] 0.3375
• 3] 3.275
• 4] 32.75

By what least number 4320 be multiplied to obtain a number which is a perfect cube?

• 1]

  35

• 2]

  48

• 3]

  50

• 4]

  62

\(\sqrt {\frac{{16}}{{25}}} \times \sqrt {\frac{?}{{25}}} \times \frac{{16}}{{25}} = \frac{{256}}{{625}}\)

• 1] 5
• 2] 8
• 3] 16
• 4] None of these

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