Quiz Discussion

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 = the value of x is = ?

• 1] 52
• 2] 58
• 3] 62
• 4] 68

Evaluate -

• 1]

  3

• 2]

  5

• 3]

  6

• 4]

  6.4

Value of \(\sqrt {0.01} \times \root 3 \of {0.008} - 0.02 \)    is = ?

• 1] 0
• 2] 1
• 3] 2
• 4] 3

If \(\sqrt {33} = 5.745{ \text{}}\)   then which of the following values is approximately \(\sqrt {\frac{3}{{11}}} { \text{ ?}}\)

• 1] 1
• 2] 6.32
• 3] 0.5223
• 4] 2.035

While solving a mathematical problem, Samidha squared a number and then subtracted 25 from it rather than the required i.e., first subtracting 25 from the number and then squaring it. But she got the right answer. What was the given number ?

• 1] 13
• 2] 38
• 3] 48
• 4] Cannot be determined
• 5] None of these

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

How many two-digit numbers satisfy this property. : The last digit (unit's digit) of the square of the two-digit number is 8 ?

• 1] 1
• 2] 2
• 3] 3
• 4] None of these

  simplifies to:

• 1]

  4/3

• 2]

  1/2

• 3]

  3/4

• 4]

  5/3

Find the cube root of 2744.

• 1]

  14

• 2]

  13

• 3]

  12

• 4]

  11