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

The value of \(\sqrt {\frac{{0.16}}{{0.4}}} \)   is = ?

• 1] 0.02
• 2] 0.2
• 3] 0.63
• 4] None of these

The square root of (272²−128²) is

• 1]

  144

• 2]

  200

• 3]

  240

• 4]

  256

Find the cube root of 2744.

• 1]

  14

• 2]

  13

• 3]

  12

• 4]

  11

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

• 1] 2
• 2] 4
• 3] 5
• 4] 6

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

\(9{x^2} + 25 - 30x\)    can be expressed as the square of = ?

• 1]

  \(3{x^2} - 25\)

• 2]

  3x + 5

• 3]

   - 3x - 5

• 4]

  3x - 5

Find the square root of 3 upto three decimal places

• 1]

  1.732

• 2]

  2.732

• 3]

  1.222

• 4]

  1.414

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

If the product of four consecutive natural numbers increased by a natural number p, is a perfect square, then the value of p is = ?

• 1] 1
• 2] 2
• 3] 4
• 4] 8