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

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

\({\left[ {{{\left( {\sqrt {81} } \right)}^2}} \right]^2} = {\left( ? \right)^2}\)

• 1] 8
• 2] 9
• 3] 4096
• 4] 6561
• 5] None of these

\(\frac{1}{{\left( {\sqrt 9 - \sqrt 8 } \right)}} -   \frac{1}{{\left( {\sqrt 8 - \sqrt 7 } \right)}} +   \frac{1}{{\left( {\sqrt 7 - \sqrt 6 } \right)}} -   \frac{1}{{\left( {\sqrt 6 - \sqrt 5 } \right)}} +   \frac{1}{{\left( {\sqrt 5 - \sqrt 4 } \right)}}\)   is equal to ?

• 1]

  0

• 2]

  1/3

• 3]

  1

• 4]

  5

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

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

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

Determined the value of \(\frac{1}{{\sqrt 1 + \sqrt 2 }}{ \text{ + }}  \frac{1}{{\sqrt 2 + \sqrt 3 }} +   \frac{1}{{\sqrt 3 + \sqrt 4 }} +   ...... +   \frac{1}{{\sqrt {120} + \sqrt {121} }}{ \text{ = ?}}\)

• 1]

  8

• 2]

  10

• 3]

  \(\sqrt {120} \)

• 4]

  \(12\sqrt 2 \)

The number of perfect square numbers between 50 and 1000 is = ?

• 1] 21
• 2] 22
• 3] 23
• 4] 24

\({\left( {15} \right)^2} + {\left( {18} \right)^2} - 20 = \sqrt ? \)

• 1] 22
• 2] 23
• 3] 529
• 4] 279841
• 5] None of these