Quiz Discussion

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

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

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

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

The number of digits in the square root of 625685746009 is = ?

• 1] 4
• 2] 5
• 3] 6
• 4] 7

The least number by which 294 must be multiplied to make it a perfect square, is = ?

• 1] 2
• 2] 3
• 3] 6
• 4] 24

The square root of (272²−128²) is

• 1]

  144

• 2]

  200

• 3]

  240

• 4]

  256

If \(\sqrt 2 = 1.414{ \text{,}}   \) the square root of \(\frac{{\sqrt 2 - 1}}{{\sqrt 2 + 1}}\)  is nearest to = ?

• 1] 0.172
• 2] 0.414
• 3] 0.586
• 4] 1.414

Solved \( \root 4 \of {{{\left( {625} \right)}^3}} = ?\)

• 1]

  \( \root 3 \of {1875} \)

• 2]

  25

• 3]

  125

• 4]

  None of these

If \(\sqrt 6 = 2.449{ \text{,}}\)   then the value of \(\frac{{3\sqrt 2 }}{{2\sqrt 3 }}\)   is = ?

• 1] 0.6122
• 2] 0.8163
• 3] 1.223
• 4] 1.2245

\(\left( {\frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }} + \frac{{2 - \sqrt 3 }}{{2 + \sqrt 3 }} + \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}} \right) \)     simplifies to = ?

• 1]

  \(16 - \sqrt 3 \)

• 2]

  \(4 - \sqrt 3 \)

• 3]

  \(2 - \sqrt 3 \)

• 4]

  \(2 + \sqrt 3 \)